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Finding the Fourth Proportional to 656,154.01, 905,492.55 and 354,348.01

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Solution

The fourth proportional to 656,154.01, 905,492.55 and 354,348.01 is: 489,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,154.01 : 905,492.55 = 354,348.01 : x
  2. Step 2: Convert to fraction form
    656,154.01/905,492.55 = 354,348.01/x
  3. Step 3: Cross multiply
    656,154.01x = 905,492.55 × 354,348.01
  4. Step 4: Simplify right side
    656,154.01x = 320,859,478,634.86
  5. Step 5: Solve for x
    x = 320,859,478,634.86/656,154.01
  6. Step 6: Final answer
    x = 489,000.26

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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.