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Finding the Fourth Proportional to 288,592, 432,875.69 and 281,834.16

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Solution

The fourth proportional to 288,592, 432,875.69 and 281,834.16 is: 422,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,592 : 432,875.69 = 281,834.16 : x
  2. Step 2: Convert to fraction form
    288,592/432,875.69 = 281,834.16/x
  3. Step 3: Cross multiply
    288,592x = 432,875.69 × 281,834.16
  4. Step 4: Simplify right side
    288,592x = 121,999,156,475.57
  5. Step 5: Solve for x
    x = 121,999,156,475.57/288,592
  6. Step 6: Final answer
    x = 422,739.22

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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.