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Finding the Fourth Proportional to 423,503.97, 584,445.74 and 229,919.64

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Solution

The fourth proportional to 423,503.97, 584,445.74 and 229,919.64 is: 317,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,503.97 : 584,445.74 = 229,919.64 : x
  2. Step 2: Convert to fraction form
    423,503.97/584,445.74 = 229,919.64/x
  3. Step 3: Cross multiply
    423,503.97x = 584,445.74 × 229,919.64
  4. Step 4: Simplify right side
    423,503.97x = 134,375,552,990.74
  5. Step 5: Solve for x
    x = 134,375,552,990.74/423,503.97
  6. Step 6: Final answer
    x = 317,294.67

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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.