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Finding the Fourth Proportional to 706,143, 1,059,214.50 and 207,507

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Solution

The fourth proportional to 706,143, 1,059,214.50 and 207,507 is: 311,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,143 : 1,059,214.50 = 207,507 : x
  2. Step 2: Convert to fraction form
    706,143/1,059,214.50 = 207,507/x
  3. Step 3: Cross multiply
    706,143x = 1,059,214.50 × 207,507
  4. Step 4: Simplify right side
    706,143x = 219,794,423,251.50
  5. Step 5: Solve for x
    x = 219,794,423,251.50/706,143
  6. Step 6: Final answer
    x = 311,260.50

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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.