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Finding the Fourth Proportional to 584,071.41, 876,103.16 and 314,326.49

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Solution

The fourth proportional to 584,071.41, 876,103.16 and 314,326.49 is: 471,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,071.41 : 876,103.16 = 314,326.49 : x
  2. Step 2: Convert to fraction form
    584,071.41/876,103.16 = 314,326.49/x
  3. Step 3: Cross multiply
    584,071.41x = 876,103.16 × 314,326.49
  4. Step 4: Simplify right side
    584,071.41x = 275,382,431,160.71
  5. Step 5: Solve for x
    x = 275,382,431,160.71/584,071.41
  6. Step 6: Final answer
    x = 471,487.61

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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.