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Finding the Fourth Proportional to 508,998.60, 763,497.90 and 464,675.40

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Solution

The fourth proportional to 508,998.60, 763,497.90 and 464,675.40 is: 697,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,998.60 : 763,497.90 = 464,675.40 : x
  2. Step 2: Convert to fraction form
    508,998.60/763,497.90 = 464,675.40/x
  3. Step 3: Cross multiply
    508,998.60x = 763,497.90 × 464,675.40
  4. Step 4: Simplify right side
    508,998.60x = 354,778,692,081.66
  5. Step 5: Solve for x
    x = 354,778,692,081.66/508,998.60
  6. Step 6: Final answer
    x = 697,013.10

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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.