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Finding the Fourth Proportional to 506,348.34, 698,826.80 and 291,497.46

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Solution

The fourth proportional to 506,348.34, 698,826.80 and 291,497.46 is: 402,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,348.34 : 698,826.80 = 291,497.46 : x
  2. Step 2: Convert to fraction form
    506,348.34/698,826.80 = 291,497.46/x
  3. Step 3: Cross multiply
    506,348.34x = 698,826.80 × 291,497.46
  4. Step 4: Simplify right side
    506,348.34x = 203,706,237,663.44
  5. Step 5: Solve for x
    x = 203,706,237,663.44/506,348.34
  6. Step 6: Final answer
    x = 402,304.54

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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.