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Finding the Fourth Proportional to 467,060.70, 698,031.95 and 340,966.47

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Solution

The fourth proportional to 467,060.70, 698,031.95 and 340,966.47 is: 509,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,060.70 : 698,031.95 = 340,966.47 : x
  2. Step 2: Convert to fraction form
    467,060.70/698,031.95 = 340,966.47/x
  3. Step 3: Cross multiply
    467,060.70x = 698,031.95 × 340,966.47
  4. Step 4: Simplify right side
    467,060.70x = 238,005,489,938.72
  5. Step 5: Solve for x
    x = 238,005,489,938.72/467,060.70
  6. Step 6: Final answer
    x = 509,581.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.