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Finding the Fourth Proportional to 419,354.82, 578,711.79 and 249,595.02

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Solution

The fourth proportional to 419,354.82, 578,711.79 and 249,595.02 is: 344,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,354.82 : 578,711.79 = 249,595.02 : x
  2. Step 2: Convert to fraction form
    419,354.82/578,711.79 = 249,595.02/x
  3. Step 3: Cross multiply
    419,354.82x = 578,711.79 × 249,595.02
  4. Step 4: Simplify right side
    419,354.82x = 144,443,580,799.29
  5. Step 5: Solve for x
    x = 144,443,580,799.29/419,354.82
  6. Step 6: Final answer
    x = 344,442.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.