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Finding the Fourth Proportional to 288,597, 432,901.98 and 99,057

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Solution

The fourth proportional to 288,597, 432,901.98 and 99,057 is: 148,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,597 : 432,901.98 = 99,057 : x
  2. Step 2: Convert to fraction form
    288,597/432,901.98 = 99,057/x
  3. Step 3: Cross multiply
    288,597x = 432,901.98 × 99,057
  4. Step 4: Simplify right side
    288,597x = 42,881,971,432.86
  5. Step 5: Solve for x
    x = 42,881,971,432.86/288,597
  6. Step 6: Final answer
    x = 148,587.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.