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Finding the Fourth Proportional to 719,848.38, 993,398.68 and 414,076.62

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Solution

The fourth proportional to 719,848.38, 993,398.68 and 414,076.62 is: 571,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,848.38 : 993,398.68 = 414,076.62 : x
  2. Step 2: Convert to fraction form
    719,848.38/993,398.68 = 414,076.62/x
  3. Step 3: Cross multiply
    719,848.38x = 993,398.68 × 414,076.62
  4. Step 4: Simplify right side
    719,848.38x = 411,343,167,726.86
  5. Step 5: Solve for x
    x = 411,343,167,726.86/719,848.38
  6. Step 6: Final answer
    x = 571,430.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.