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Finding the Fourth Proportional to 832,398.93, 1,148,714.46 and 469,838.07

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Solution

The fourth proportional to 832,398.93, 1,148,714.46 and 469,838.07 is: 648,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,398.93 : 1,148,714.46 = 469,838.07 : x
  2. Step 2: Convert to fraction form
    832,398.93/1,148,714.46 = 469,838.07/x
  3. Step 3: Cross multiply
    832,398.93x = 1,148,714.46 × 469,838.07
  4. Step 4: Simplify right side
    832,398.93x = 539,709,784,867.49
  5. Step 5: Solve for x
    x = 539,709,784,867.49/832,398.93
  6. Step 6: Final answer
    x = 648,378.76

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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.