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Finding the Fourth Proportional to 656,587.68, 906,512.70 and 411,907.90

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Solution

The fourth proportional to 656,587.68, 906,512.70 and 411,907.90 is: 568,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,587.68 : 906,512.70 = 411,907.90 : x
  2. Step 2: Convert to fraction form
    656,587.68/906,512.70 = 411,907.90/x
  3. Step 3: Cross multiply
    656,587.68x = 906,512.70 × 411,907.90
  4. Step 4: Simplify right side
    656,587.68x = 373,399,742,580.33
  5. Step 5: Solve for x
    x = 373,399,742,580.33/656,587.68
  6. Step 6: Final answer
    x = 568,697.45

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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.