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Finding the Fourth Proportional to 495,269.40, 742,904.10 and 465,744.90

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Solution

The fourth proportional to 495,269.40, 742,904.10 and 465,744.90 is: 698,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,269.40 : 742,904.10 = 465,744.90 : x
  2. Step 2: Convert to fraction form
    495,269.40/742,904.10 = 465,744.90/x
  3. Step 3: Cross multiply
    495,269.40x = 742,904.10 × 465,744.90
  4. Step 4: Simplify right side
    495,269.40x = 346,003,795,764.09
  5. Step 5: Solve for x
    x = 346,003,795,764.09/495,269.40
  6. Step 6: Final answer
    x = 698,617.35

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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.