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Finding the Fourth Proportional to 549,770.06, 823,950.38 and 478,396.10

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Solution

The fourth proportional to 549,770.06, 823,950.38 and 478,396.10 is: 716,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,770.06 : 823,950.38 = 478,396.10 : x
  2. Step 2: Convert to fraction form
    549,770.06/823,950.38 = 478,396.10/x
  3. Step 3: Cross multiply
    549,770.06x = 823,950.38 × 478,396.10
  4. Step 4: Simplify right side
    549,770.06x = 394,174,648,385.52
  5. Step 5: Solve for x
    x = 394,174,648,385.52/549,770.06
  6. Step 6: Final answer
    x = 716,980.93

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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.