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Finding the Fourth Proportional to 700,973, 1,053,654.30 and 462,618.56

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Solution

The fourth proportional to 700,973, 1,053,654.30 and 462,618.56 is: 695,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,973 : 1,053,654.30 = 462,618.56 : x
  2. Step 2: Convert to fraction form
    700,973/1,053,654.30 = 462,618.56/x
  3. Step 3: Cross multiply
    700,973x = 1,053,654.30 × 462,618.56
  4. Step 4: Simplify right side
    700,973x = 487,440,035,003.81
  5. Step 5: Solve for x
    x = 487,440,035,003.81/700,973
  6. Step 6: Final answer
    x = 695,376.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.