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Finding the Fourth Proportional to 413,488.16, 570,675.37 and 252,436.57

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Solution

The fourth proportional to 413,488.16, 570,675.37 and 252,436.57 is: 348,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,488.16 : 570,675.37 = 252,436.57 : x
  2. Step 2: Convert to fraction form
    413,488.16/570,675.37 = 252,436.57/x
  3. Step 3: Cross multiply
    413,488.16x = 570,675.37 × 252,436.57
  4. Step 4: Simplify right side
    413,488.16x = 144,059,330,928.50
  5. Step 5: Solve for x
    x = 144,059,330,928.50/413,488.16
  6. Step 6: Final answer
    x = 348,400.14

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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.