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Finding the Fourth Proportional to 417,745.08, 575,031.24 and 360,565.80

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Solution

The fourth proportional to 417,745.08, 575,031.24 and 360,565.80 is: 496,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,745.08 : 575,031.24 = 360,565.80 : x
  2. Step 2: Convert to fraction form
    417,745.08/575,031.24 = 360,565.80/x
  3. Step 3: Cross multiply
    417,745.08x = 575,031.24 × 360,565.80
  4. Step 4: Simplify right side
    417,745.08x = 207,336,599,075.59
  5. Step 5: Solve for x
    x = 207,336,599,075.59/417,745.08
  6. Step 6: Final answer
    x = 496,323.26

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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.