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Finding the Fourth Proportional to 659,180.16, 909,703.44 and 417,374.64

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Solution

The fourth proportional to 659,180.16, 909,703.44 and 417,374.64 is: 575,999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,180.16 : 909,703.44 = 417,374.64 : x
  2. Step 2: Convert to fraction form
    659,180.16/909,703.44 = 417,374.64/x
  3. Step 3: Cross multiply
    659,180.16x = 909,703.44 × 417,374.64
  4. Step 4: Simplify right side
    659,180.16x = 379,687,145,776.76
  5. Step 5: Solve for x
    x = 379,687,145,776.76/659,180.16
  6. Step 6: Final answer
    x = 575,999.05

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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.