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Finding the Fourth Proportional to 665,712, 918,682.56 and 363,908.16

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Solution

The fourth proportional to 665,712, 918,682.56 and 363,908.16 is: 502,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,712 : 918,682.56 = 363,908.16 : x
  2. Step 2: Convert to fraction form
    665,712/918,682.56 = 363,908.16/x
  3. Step 3: Cross multiply
    665,712x = 918,682.56 × 363,908.16
  4. Step 4: Simplify right side
    665,712x = 334,316,080,033.69
  5. Step 5: Solve for x
    x = 334,316,080,033.69/665,712
  6. Step 6: Final answer
    x = 502,193.26

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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.