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Finding the Fourth Proportional to 489,148.10, 686,051.50 and 489,148.10

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Solution

The fourth proportional to 489,148.10, 686,051.50 and 489,148.10 is: 686,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,148.10 : 686,051.50 = 489,148.10 : x
  2. Step 2: Convert to fraction form
    489,148.10/686,051.50 = 489,148.10/x
  3. Step 3: Cross multiply
    489,148.10x = 686,051.50 × 489,148.10
  4. Step 4: Simplify right side
    489,148.10x = 335,580,787,727.15
  5. Step 5: Solve for x
    x = 335,580,787,727.15/489,148.10
  6. Step 6: Final answer
    x = 686,051.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.