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Finding the Fourth Proportional to 652,643.76, 900,702.68 and 362,282.66

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Solution

The fourth proportional to 652,643.76, 900,702.68 and 362,282.66 is: 499,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,643.76 : 900,702.68 = 362,282.66 : x
  2. Step 2: Convert to fraction form
    652,643.76/900,702.68 = 362,282.66/x
  3. Step 3: Cross multiply
    652,643.76x = 900,702.68 × 362,282.66
  4. Step 4: Simplify right side
    652,643.76x = 326,308,956,464.60
  5. Step 5: Solve for x
    x = 326,308,956,464.60/652,643.76
  6. Step 6: Final answer
    x = 499,980.20

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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.