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Finding the Fourth Proportional to 506,503.52, 699,009.72 and 291,700.16

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Solution

The fourth proportional to 506,503.52, 699,009.72 and 291,700.16 is: 402,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,503.52 : 699,009.72 = 291,700.16 : x
  2. Step 2: Convert to fraction form
    506,503.52/699,009.72 = 291,700.16/x
  3. Step 3: Cross multiply
    506,503.52x = 699,009.72 × 291,700.16
  4. Step 4: Simplify right side
    506,503.52x = 203,901,247,165.56
  5. Step 5: Solve for x
    x = 203,901,247,165.56/506,503.52
  6. Step 6: Final answer
    x = 402,566.30

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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.