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Finding the Fourth Proportional to 535,307.64, 803,034.90 and 310,773.48

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Solution

The fourth proportional to 535,307.64, 803,034.90 and 310,773.48 is: 466,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,307.64 : 803,034.90 = 310,773.48 : x
  2. Step 2: Convert to fraction form
    535,307.64/803,034.90 = 310,773.48/x
  3. Step 3: Cross multiply
    535,307.64x = 803,034.90 × 310,773.48
  4. Step 4: Simplify right side
    535,307.64x = 249,561,950,434.45
  5. Step 5: Solve for x
    x = 249,561,950,434.45/535,307.64
  6. Step 6: Final answer
    x = 466,202.86

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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.