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Finding the Fourth Proportional to 354,005.17, 530,810.90 and 117,218.68

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Solution

The fourth proportional to 354,005.17, 530,810.90 and 117,218.68 is: 175,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,005.17 : 530,810.90 = 117,218.68 : x
  2. Step 2: Convert to fraction form
    354,005.17/530,810.90 = 117,218.68/x
  3. Step 3: Cross multiply
    354,005.17x = 530,810.90 × 117,218.68
  4. Step 4: Simplify right side
    354,005.17x = 62,220,953,027.61
  5. Step 5: Solve for x
    x = 62,220,953,027.61/354,005.17
  6. Step 6: Final answer
    x = 175,762.84

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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.