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Finding the Fourth Proportional to 549,014.84, 822,089.87 and 441,813.24

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Solution

The fourth proportional to 549,014.84, 822,089.87 and 441,813.24 is: 661,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,014.84 : 822,089.87 = 441,813.24 : x
  2. Step 2: Convert to fraction form
    549,014.84/822,089.87 = 441,813.24/x
  3. Step 3: Cross multiply
    549,014.84x = 822,089.87 × 441,813.24
  4. Step 4: Simplify right side
    549,014.84x = 363,210,186,826.81
  5. Step 5: Solve for x
    x = 363,210,186,826.81/549,014.84
  6. Step 6: Final answer
    x = 661,567.16

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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.