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Finding the Fourth Proportional to 5,098,844.48, 7,648,658.40 and 1,312,364.48

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Solution

The fourth proportional to 5,098,844.48, 7,648,658.40 and 1,312,364.48 is: 1,968,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098,844.48 : 7,648,658.40 = 1,312,364.48 : x
  2. Step 2: Convert to fraction form
    5,098,844.48/7,648,658.40 = 1,312,364.48/x
  3. Step 3: Cross multiply
    5,098,844.48x = 7,648,658.40 × 1,312,364.48
  4. Step 4: Simplify right side
    5,098,844.48x = 10,037,827,603,813.63
  5. Step 5: Solve for x
    x = 10,037,827,603,813.63/5,098,844.48
  6. Step 6: Final answer
    x = 1,968,647.53

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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.