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Finding the Fourth Proportional to 584,074.41, 876,107.66 and 314,329.49

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Solution

The fourth proportional to 584,074.41, 876,107.66 and 314,329.49 is: 471,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,074.41 : 876,107.66 = 314,329.49 : x
  2. Step 2: Convert to fraction form
    584,074.41/876,107.66 = 314,329.49/x
  3. Step 3: Cross multiply
    584,074.41x = 876,107.66 × 314,329.49
  4. Step 4: Simplify right side
    584,074.41x = 275,386,473,952.89
  5. Step 5: Solve for x
    x = 275,386,473,952.89/584,074.41
  6. Step 6: Final answer
    x = 471,492.11

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.