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Finding the Fourth Proportional to 506,646.30, 759,724.02 and 207,007.86

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Solution

The fourth proportional to 506,646.30, 759,724.02 and 207,007.86 is: 310,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,646.30 : 759,724.02 = 207,007.86 : x
  2. Step 2: Convert to fraction form
    506,646.30/759,724.02 = 207,007.86/x
  3. Step 3: Cross multiply
    506,646.30x = 759,724.02 × 207,007.86
  4. Step 4: Simplify right side
    506,646.30x = 157,268,843,570.80
  5. Step 5: Solve for x
    x = 157,268,843,570.80/506,646.30
  6. Step 6: Final answer
    x = 310,411.51

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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.