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Finding the Fourth Proportional to 495,057.40, 742,467.18 and 228,562

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Solution

The fourth proportional to 495,057.40, 742,467.18 and 228,562 is: 342,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,057.40 : 742,467.18 = 228,562 : x
  2. Step 2: Convert to fraction form
    495,057.40/742,467.18 = 228,562/x
  3. Step 3: Cross multiply
    495,057.40x = 742,467.18 × 228,562
  4. Step 4: Simplify right side
    495,057.40x = 169,699,783,595.16
  5. Step 5: Solve for x
    x = 169,699,783,595.16/495,057.40
  6. Step 6: Final answer
    x = 342,788.10

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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.