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Finding the Fourth Proportional to 564,023.52, 778,345.20 and 322,303.32

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Solution

The fourth proportional to 564,023.52, 778,345.20 and 322,303.32 is: 444,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,023.52 : 778,345.20 = 322,303.32 : x
  2. Step 2: Convert to fraction form
    564,023.52/778,345.20 = 322,303.32/x
  3. Step 3: Cross multiply
    564,023.52x = 778,345.20 × 322,303.32
  4. Step 4: Simplify right side
    564,023.52x = 250,863,242,066.06
  5. Step 5: Solve for x
    x = 250,863,242,066.06/564,023.52
  6. Step 6: Final answer
    x = 444,774.43

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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.