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Finding the Fourth Proportional to 763,902, 1,054,281.96 and 462,098.16

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Solution

The fourth proportional to 763,902, 1,054,281.96 and 462,098.16 is: 637,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,902 : 1,054,281.96 = 462,098.16 : x
  2. Step 2: Convert to fraction form
    763,902/1,054,281.96 = 462,098.16/x
  3. Step 3: Cross multiply
    763,902x = 1,054,281.96 × 462,098.16
  4. Step 4: Simplify right side
    763,902x = 487,181,753,837.19
  5. Step 5: Solve for x
    x = 487,181,753,837.19/763,902
  6. Step 6: Final answer
    x = 637,754.26

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Why These Related Problems?

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