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Finding the Fourth Proportional to 506,055.66, 698,080.35 and 324,565.62

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Solution

The fourth proportional to 506,055.66, 698,080.35 and 324,565.62 is: 447,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,055.66 : 698,080.35 = 324,565.62 : x
  2. Step 2: Convert to fraction form
    506,055.66/698,080.35 = 324,565.62/x
  3. Step 3: Cross multiply
    506,055.66x = 698,080.35 × 324,565.62
  4. Step 4: Simplify right side
    506,055.66x = 226,572,881,607.57
  5. Step 5: Solve for x
    x = 226,572,881,607.57/506,055.66
  6. Step 6: Final answer
    x = 447,723.24

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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.