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Finding the Fourth Proportional to 652,642.76, 900,701.30 and 362,281.66

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Solution

The fourth proportional to 652,642.76, 900,701.30 and 362,281.66 is: 499,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,642.76 : 900,701.30 = 362,281.66 : x
  2. Step 2: Convert to fraction form
    652,642.76/900,701.30 = 362,281.66/x
  3. Step 3: Cross multiply
    652,642.76x = 900,701.30 × 362,281.66
  4. Step 4: Simplify right side
    652,642.76x = 326,307,562,128.16
  5. Step 5: Solve for x
    x = 326,307,562,128.16/652,642.76
  6. Step 6: Final answer
    x = 499,978.83

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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.