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Finding the Fourth Proportional to 532,291.28, 732,697.50 and 464,188.10

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Solution

The fourth proportional to 532,291.28, 732,697.50 and 464,188.10 is: 638,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,291.28 : 732,697.50 = 464,188.10 : x
  2. Step 2: Convert to fraction form
    532,291.28/732,697.50 = 464,188.10/x
  3. Step 3: Cross multiply
    532,291.28x = 732,697.50 × 464,188.10
  4. Step 4: Simplify right side
    532,291.28x = 340,109,460,025.74
  5. Step 5: Solve for x
    x = 340,109,460,025.74/532,291.28
  6. Step 6: Final answer
    x = 638,953.66

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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.