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Finding the Fourth Proportional to 970,376.32, 1,455,720.32 and 409,493.76

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Solution

The fourth proportional to 970,376.32, 1,455,720.32 and 409,493.76 is: 614,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,376.32 : 1,455,720.32 = 409,493.76 : x
  2. Step 2: Convert to fraction form
    970,376.32/1,455,720.32 = 409,493.76/x
  3. Step 3: Cross multiply
    970,376.32x = 1,455,720.32 × 409,493.76
  4. Step 4: Simplify right side
    970,376.32x = 596,108,387,345.20
  5. Step 5: Solve for x
    x = 596,108,387,345.20/970,376.32
  6. Step 6: Final answer
    x = 614,306.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.