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Finding the Fourth Proportional to 656,153.76, 905,492.20 and 354,347.76

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Solution

The fourth proportional to 656,153.76, 905,492.20 and 354,347.76 is: 488,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,153.76 : 905,492.20 = 354,347.76 : x
  2. Step 2: Convert to fraction form
    656,153.76/905,492.20 = 354,347.76/x
  3. Step 3: Cross multiply
    656,153.76x = 905,492.20 × 354,347.76
  4. Step 4: Simplify right side
    656,153.76x = 320,859,132,767.47
  5. Step 5: Solve for x
    x = 320,859,132,767.47/656,153.76
  6. Step 6: Final answer
    x = 488,999.91

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1.5x scale

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.