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Finding the Fourth Proportional to 506,205.56, 698,541.54 and 291,352.52

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Solution

The fourth proportional to 506,205.56, 698,541.54 and 291,352.52 is: 402,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,205.56 : 698,541.54 = 291,352.52 : x
  2. Step 2: Convert to fraction form
    506,205.56/698,541.54 = 291,352.52/x
  3. Step 3: Cross multiply
    506,205.56x = 698,541.54 × 291,352.52
  4. Step 4: Simplify right side
    506,205.56x = 203,521,838,003.68
  5. Step 5: Solve for x
    x = 203,521,838,003.68/506,205.56
  6. Step 6: Final answer
    x = 402,053.74

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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.