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Finding the Fourth Proportional to 533,048.40, 735,535.88 and 342,320.12

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Solution

The fourth proportional to 533,048.40, 735,535.88 and 342,320.12 is: 472,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,048.40 : 735,535.88 = 342,320.12 : x
  2. Step 2: Convert to fraction form
    533,048.40/735,535.88 = 342,320.12/x
  3. Step 3: Cross multiply
    533,048.40x = 735,535.88 × 342,320.12
  4. Step 4: Simplify right side
    533,048.40x = 251,788,730,705.91
  5. Step 5: Solve for x
    x = 251,788,730,705.91/533,048.40
  6. Step 6: Final answer
    x = 472,356.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.