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Finding the Fourth Proportional to 785,724, 1,084,248.09 and 463,360.20

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Solution

The fourth proportional to 785,724, 1,084,248.09 and 463,360.20 is: 639,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,724 : 1,084,248.09 = 463,360.20 : x
  2. Step 2: Convert to fraction form
    785,724/1,084,248.09 = 463,360.20/x
  3. Step 3: Cross multiply
    785,724x = 1,084,248.09 × 463,360.20
  4. Step 4: Simplify right side
    785,724x = 502,397,411,832.02
  5. Step 5: Solve for x
    x = 502,397,411,832.02/785,724
  6. Step 6: Final answer
    x = 639,406.98

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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.