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Finding the Fourth Proportional to 546,362.66, 819,259.65 and 209,302.22

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Solution

The fourth proportional to 546,362.66, 819,259.65 and 209,302.22 is: 313,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,362.66 : 819,259.65 = 209,302.22 : x
  2. Step 2: Convert to fraction form
    546,362.66/819,259.65 = 209,302.22/x
  3. Step 3: Cross multiply
    546,362.66x = 819,259.65 × 209,302.22
  4. Step 4: Simplify right side
    546,362.66x = 171,472,863,501.42
  5. Step 5: Solve for x
    x = 171,472,863,501.42/546,362.66
  6. Step 6: Final answer
    x = 313,844.40

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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.