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Finding the Fourth Proportional to 354,502.70, 531,802.65 and 117,820.70

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Solution

The fourth proportional to 354,502.70, 531,802.65 and 117,820.70 is: 176,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,502.70 : 531,802.65 = 117,820.70 : x
  2. Step 2: Convert to fraction form
    354,502.70/531,802.65 = 117,820.70/x
  3. Step 3: Cross multiply
    354,502.70x = 531,802.65 × 117,820.70
  4. Step 4: Simplify right side
    354,502.70x = 62,657,360,484.86
  5. Step 5: Solve for x
    x = 62,657,360,484.86/354,502.70
  6. Step 6: Final answer
    x = 176,747.20

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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.