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Finding the Fourth Proportional to 302,657.84, 453,723.72 and 152,773.28

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Solution

The fourth proportional to 302,657.84, 453,723.72 and 152,773.28 is: 229,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,657.84 : 453,723.72 = 152,773.28 : x
  2. Step 2: Convert to fraction form
    302,657.84/453,723.72 = 152,773.28/x
  3. Step 3: Cross multiply
    302,657.84x = 453,723.72 × 152,773.28
  4. Step 4: Simplify right side
    302,657.84x = 69,316,860,918.20
  5. Step 5: Solve for x
    x = 69,316,860,918.20/302,657.84
  6. Step 6: Final answer
    x = 229,027.14

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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.