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Finding the Fourth Proportional to 661,663.36, 912,627.84 and 457,776.64

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Solution

The fourth proportional to 661,663.36, 912,627.84 and 457,776.64 is: 631,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,663.36 : 912,627.84 = 457,776.64 : x
  2. Step 2: Convert to fraction form
    661,663.36/912,627.84 = 457,776.64/x
  3. Step 3: Cross multiply
    661,663.36x = 912,627.84 × 457,776.64
  4. Step 4: Simplify right side
    661,663.36x = 417,779,706,165.66
  5. Step 5: Solve for x
    x = 417,779,706,165.66/661,663.36
  6. Step 6: Final answer
    x = 631,408.25

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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.