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Finding the Fourth Proportional to 564,078.52, 778,421.10 and 322,358.32

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Solution

The fourth proportional to 564,078.52, 778,421.10 and 322,358.32 is: 444,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,078.52 : 778,421.10 = 322,358.32 : x
  2. Step 2: Convert to fraction form
    564,078.52/778,421.10 = 322,358.32/x
  3. Step 3: Cross multiply
    564,078.52x = 778,421.10 × 322,358.32
  4. Step 4: Simplify right side
    564,078.52x = 250,930,518,048.55
  5. Step 5: Solve for x
    x = 250,930,518,048.55/564,078.52
  6. Step 6: Final answer
    x = 444,850.33

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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.