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Finding the Fourth Proportional to 656,801.30, 906,412.70 and 414,995.65

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Solution

The fourth proportional to 656,801.30, 906,412.70 and 414,995.65 is: 572,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,801.30 : 906,412.70 = 414,995.65 : x
  2. Step 2: Convert to fraction form
    656,801.30/906,412.70 = 414,995.65/x
  3. Step 3: Cross multiply
    656,801.30x = 906,412.70 × 414,995.65
  4. Step 4: Simplify right side
    656,801.30x = 376,157,326,376.21
  5. Step 5: Solve for x
    x = 376,157,326,376.21/656,801.30
  6. Step 6: Final answer
    x = 572,710.99

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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.