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Finding the Fourth Proportional to 533,193.98, 735,785.35 and 315,543.74

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Solution

The fourth proportional to 533,193.98, 735,785.35 and 315,543.74 is: 435,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,193.98 : 735,785.35 = 315,543.74 : x
  2. Step 2: Convert to fraction form
    533,193.98/735,785.35 = 315,543.74/x
  3. Step 3: Cross multiply
    533,193.98x = 735,785.35 × 315,543.74
  4. Step 4: Simplify right side
    533,193.98x = 232,172,461,176.21
  5. Step 5: Solve for x
    x = 232,172,461,176.21/533,193.98
  6. Step 6: Final answer
    x = 435,437.14

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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.