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Finding the Fourth Proportional to 366,952.56, 549,542.16 and 208,701.24

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Solution

The fourth proportional to 366,952.56, 549,542.16 and 208,701.24 is: 312,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,952.56 : 549,542.16 = 208,701.24 : x
  2. Step 2: Convert to fraction form
    366,952.56/549,542.16 = 208,701.24/x
  3. Step 3: Cross multiply
    366,952.56x = 549,542.16 × 208,701.24
  4. Step 4: Simplify right side
    366,952.56x = 114,690,130,224.28
  5. Step 5: Solve for x
    x = 114,690,130,224.28/366,952.56
  6. Step 6: Final answer
    x = 312,547.57

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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.