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Finding the Fourth Proportional to 700,701.48, 966,968 and 378,411.54

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Solution

The fourth proportional to 700,701.48, 966,968 and 378,411.54 is: 522,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,701.48 : 966,968 = 378,411.54 : x
  2. Step 2: Convert to fraction form
    700,701.48/966,968 = 378,411.54/x
  3. Step 3: Cross multiply
    700,701.48x = 966,968 × 378,411.54
  4. Step 4: Simplify right side
    700,701.48x = 365,911,850,010.72
  5. Step 5: Solve for x
    x = 365,911,850,010.72/700,701.48
  6. Step 6: Final answer
    x = 522,207.90

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1.5x scale

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.