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Finding the Fourth Proportional to 286,499, 429,748.50 and 89,507

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Solution

The fourth proportional to 286,499, 429,748.50 and 89,507 is: 134,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,499 : 429,748.50 = 89,507 : x
  2. Step 2: Convert to fraction form
    286,499/429,748.50 = 89,507/x
  3. Step 3: Cross multiply
    286,499x = 429,748.50 × 89,507
  4. Step 4: Simplify right side
    286,499x = 38,465,498,989.50
  5. Step 5: Solve for x
    x = 38,465,498,989.50/286,499
  6. Step 6: Final answer
    x = 134,260.50

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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.