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Finding the Fourth Proportional to 506,117.31, 759,177.40 and 146,317.45

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Solution

The fourth proportional to 506,117.31, 759,177.40 and 146,317.45 is: 219,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,117.31 : 759,177.40 = 146,317.45 : x
  2. Step 2: Convert to fraction form
    506,117.31/759,177.40 = 146,317.45/x
  3. Step 3: Cross multiply
    506,117.31x = 759,177.40 × 146,317.45
  4. Step 4: Simplify right side
    506,117.31x = 111,080,901,265.63
  5. Step 5: Solve for x
    x = 111,080,901,265.63/506,117.31
  6. Step 6: Final answer
    x = 219,476.59

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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.