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Finding the Fourth Proportional to 562,414.54, 776,132.13 and 307,765.75

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Solution

The fourth proportional to 562,414.54, 776,132.13 and 307,765.75 is: 424,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,414.54 : 776,132.13 = 307,765.75 : x
  2. Step 2: Convert to fraction form
    562,414.54/776,132.13 = 307,765.75/x
  3. Step 3: Cross multiply
    562,414.54x = 776,132.13 × 307,765.75
  4. Step 4: Simplify right side
    562,414.54x = 238,866,887,088.55
  5. Step 5: Solve for x
    x = 238,866,887,088.55/562,414.54
  6. Step 6: Final answer
    x = 424,716.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.