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Finding the Fourth Proportional to 413,141.26, 570,654.62 and 340,806.28

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Solution

The fourth proportional to 413,141.26, 570,654.62 and 340,806.28 is: 470,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,141.26 : 570,654.62 = 340,806.28 : x
  2. Step 2: Convert to fraction form
    413,141.26/570,654.62 = 340,806.28/x
  3. Step 3: Cross multiply
    413,141.26x = 570,654.62 × 340,806.28
  4. Step 4: Simplify right side
    413,141.26x = 194,482,676,502.98
  5. Step 5: Solve for x
    x = 194,482,676,502.98/413,141.26
  6. Step 6: Final answer
    x = 470,741.35

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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.