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Finding the Fourth Proportional to 474,454.90, 711,570.54 and 174,772.72

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Solution

The fourth proportional to 474,454.90, 711,570.54 and 174,772.72 is: 262,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,454.90 : 711,570.54 = 174,772.72 : x
  2. Step 2: Convert to fraction form
    474,454.90/711,570.54 = 174,772.72/x
  3. Step 3: Cross multiply
    474,454.90x = 711,570.54 × 174,772.72
  4. Step 4: Simplify right side
    474,454.90x = 124,363,118,747.67
  5. Step 5: Solve for x
    x = 124,363,118,747.67/474,454.90
  6. Step 6: Final answer
    x = 262,117.89

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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.