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Finding the Fourth Proportional to 463,479.60, 695,737.80 and 433,023.60

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Solution

The fourth proportional to 463,479.60, 695,737.80 and 433,023.60 is: 650,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,479.60 : 695,737.80 = 433,023.60 : x
  2. Step 2: Convert to fraction form
    463,479.60/695,737.80 = 433,023.60/x
  3. Step 3: Cross multiply
    463,479.60x = 695,737.80 × 433,023.60
  4. Step 4: Simplify right side
    463,479.60x = 301,270,886,812.08
  5. Step 5: Solve for x
    x = 301,270,886,812.08/463,479.60
  6. Step 6: Final answer
    x = 650,019.74

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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.