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Finding the Fourth Proportional to 584,073.41, 876,106.16 and 314,328.49

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Solution

The fourth proportional to 584,073.41, 876,106.16 and 314,328.49 is: 471,490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,073.41 : 876,106.16 = 314,328.49 : x
  2. Step 2: Convert to fraction form
    584,073.41/876,106.16 = 314,328.49/x
  3. Step 3: Cross multiply
    584,073.41x = 876,106.16 × 314,328.49
  4. Step 4: Simplify right side
    584,073.41x = 275,385,126,352.50
  5. Step 5: Solve for x
    x = 275,385,126,352.50/584,073.41
  6. Step 6: Final answer
    x = 471,490.61

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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.