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Finding the Fourth Proportional to 832,000.32, 1,148,061.63 and 469,403.01

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Solution

The fourth proportional to 832,000.32, 1,148,061.63 and 469,403.01 is: 647,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,000.32 : 1,148,061.63 = 469,403.01 : x
  2. Step 2: Convert to fraction form
    832,000.32/1,148,061.63 = 469,403.01/x
  3. Step 3: Cross multiply
    832,000.32x = 1,148,061.63 × 469,403.01
  4. Step 4: Simplify right side
    832,000.32x = 538,903,584,787.51
  5. Step 5: Solve for x
    x = 538,903,584,787.51/832,000.32
  6. Step 6: Final answer
    x = 647,720.41

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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.