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Finding the Fourth Proportional to 546,580.44, 819,710.64 and 209,595.96

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Solution

The fourth proportional to 546,580.44, 819,710.64 and 209,595.96 is: 314,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,580.44 : 819,710.64 = 209,595.96 : x
  2. Step 2: Convert to fraction form
    546,580.44/819,710.64 = 209,595.96/x
  3. Step 3: Cross multiply
    546,580.44x = 819,710.64 × 209,595.96
  4. Step 4: Simplify right side
    546,580.44x = 171,808,038,513.01
  5. Step 5: Solve for x
    x = 171,808,038,513.01/546,580.44
  6. Step 6: Final answer
    x = 314,332.58

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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.