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Finding the Fourth Proportional to 403,854.32, 557,322.76 and 222,572.88

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Solution

The fourth proportional to 403,854.32, 557,322.76 and 222,572.88 is: 307,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,854.32 : 557,322.76 = 222,572.88 : x
  2. Step 2: Convert to fraction form
    403,854.32/557,322.76 = 222,572.88/x
  3. Step 3: Cross multiply
    403,854.32x = 557,322.76 × 222,572.88
  4. Step 4: Simplify right side
    403,854.32x = 124,044,931,782.75
  5. Step 5: Solve for x
    x = 124,044,931,782.75/403,854.32
  6. Step 6: Final answer
    x = 307,152.67

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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.