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Finding the Fourth Proportional to 464,779.20, 697,113.44 and 127,854.08

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Solution

The fourth proportional to 464,779.20, 697,113.44 and 127,854.08 is: 191,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,779.20 : 697,113.44 = 127,854.08 : x
  2. Step 2: Convert to fraction form
    464,779.20/697,113.44 = 127,854.08/x
  3. Step 3: Cross multiply
    464,779.20x = 697,113.44 × 127,854.08
  4. Step 4: Simplify right side
    464,779.20x = 89,128,799,436.57
  5. Step 5: Solve for x
    x = 89,128,799,436.57/464,779.20
  6. Step 6: Final answer
    x = 191,765.89

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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.