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Finding the Fourth Proportional to 478,011.44, 717,012.28 and 123,024.08

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Solution

The fourth proportional to 478,011.44, 717,012.28 and 123,024.08 is: 184,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,011.44 : 717,012.28 = 123,024.08 : x
  2. Step 2: Convert to fraction form
    478,011.44/717,012.28 = 123,024.08/x
  3. Step 3: Cross multiply
    478,011.44x = 717,012.28 × 123,024.08
  4. Step 4: Simplify right side
    478,011.44x = 88,209,776,095.70
  5. Step 5: Solve for x
    x = 88,209,776,095.70/478,011.44
  6. Step 6: Final answer
    x = 184,534.86

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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.