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Finding the Fourth Proportional to 549,830.30, 824,745.45 and 496,686.20

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Solution

The fourth proportional to 549,830.30, 824,745.45 and 496,686.20 is: 745,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,830.30 : 824,745.45 = 496,686.20 : x
  2. Step 2: Convert to fraction form
    549,830.30/824,745.45 = 496,686.20/x
  3. Step 3: Cross multiply
    549,830.30x = 824,745.45 × 496,686.20
  4. Step 4: Simplify right side
    549,830.30x = 409,639,683,527.79
  5. Step 5: Solve for x
    x = 409,639,683,527.79/549,830.30
  6. Step 6: Final answer
    x = 745,029.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.