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Finding the Fourth Proportional to 830,400.16, 1,145,715.18 and 467,697.28

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Solution

The fourth proportional to 830,400.16, 1,145,715.18 and 467,697.28 is: 645,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,400.16 : 1,145,715.18 = 467,697.28 : x
  2. Step 2: Convert to fraction form
    830,400.16/1,145,715.18 = 467,697.28/x
  3. Step 3: Cross multiply
    830,400.16x = 1,145,715.18 × 467,697.28
  4. Step 4: Simplify right side
    830,400.16x = 535,847,873,340.71
  5. Step 5: Solve for x
    x = 535,847,873,340.71/830,400.16
  6. Step 6: Final answer
    x = 645,288.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.