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Finding the Fourth Proportional to 360,657.48, 497,703.06 and 199,499.88

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Solution

The fourth proportional to 360,657.48, 497,703.06 and 199,499.88 is: 275,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,657.48 : 497,703.06 = 199,499.88 : x
  2. Step 2: Convert to fraction form
    360,657.48/497,703.06 = 199,499.88/x
  3. Step 3: Cross multiply
    360,657.48x = 497,703.06 × 199,499.88
  4. Step 4: Simplify right side
    360,657.48x = 99,291,700,745.63
  5. Step 5: Solve for x
    x = 99,291,700,745.63/360,657.48
  6. Step 6: Final answer
    x = 275,307.48

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1.5x scale

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.