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Finding the Fourth Proportional to 535,037.16, 801,702.72 and 282,307.44

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Solution

The fourth proportional to 535,037.16, 801,702.72 and 282,307.44 is: 423,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,037.16 : 801,702.72 = 282,307.44 : x
  2. Step 2: Convert to fraction form
    535,037.16/801,702.72 = 282,307.44/x
  3. Step 3: Cross multiply
    535,037.16x = 801,702.72 × 282,307.44
  4. Step 4: Simplify right side
    535,037.16x = 226,326,642,524.24
  5. Step 5: Solve for x
    x = 226,326,642,524.24/535,037.16
  6. Step 6: Final answer
    x = 423,011.07

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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.