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Finding the Fourth Proportional to 495,878.40, 744,595.20 and 285,926.40

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Solution

The fourth proportional to 495,878.40, 744,595.20 and 285,926.40 is: 429,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,878.40 : 744,595.20 = 285,926.40 : x
  2. Step 2: Convert to fraction form
    495,878.40/744,595.20 = 285,926.40/x
  3. Step 3: Cross multiply
    495,878.40x = 744,595.20 × 285,926.40
  4. Step 4: Simplify right side
    495,878.40x = 212,899,424,993.28
  5. Step 5: Solve for x
    x = 212,899,424,993.28/495,878.40
  6. Step 6: Final answer
    x = 429,337.97

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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.