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Finding the Fourth Proportional to 905,415.78, 1,249,473.42 and 497,543.90

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Solution

The fourth proportional to 905,415.78, 1,249,473.42 and 497,543.90 is: 686,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,415.78 : 1,249,473.42 = 497,543.90 : x
  2. Step 2: Convert to fraction form
    905,415.78/1,249,473.42 = 497,543.90/x
  3. Step 3: Cross multiply
    905,415.78x = 1,249,473.42 × 497,543.90
  4. Step 4: Simplify right side
    905,415.78x = 621,667,878,333.14
  5. Step 5: Solve for x
    x = 621,667,878,333.14/905,415.78
  6. Step 6: Final answer
    x = 686,610.39

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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.