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Finding the Fourth Proportional to 656,308, 905,705.40 and 354,502

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Solution

The fourth proportional to 656,308, 905,705.40 and 354,502 is: 489,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,308 : 905,705.40 = 354,502 : x
  2. Step 2: Convert to fraction form
    656,308/905,705.40 = 354,502/x
  3. Step 3: Cross multiply
    656,308x = 905,705.40 × 354,502
  4. Step 4: Simplify right side
    656,308x = 321,074,375,710.80
  5. Step 5: Solve for x
    x = 321,074,375,710.80/656,308
  6. Step 6: Final answer
    x = 489,212.95

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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.