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Finding the Fourth Proportional to 524,071.82, 723,146.18 and 294,596.66

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Solution

The fourth proportional to 524,071.82, 723,146.18 and 294,596.66 is: 406,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,071.82 : 723,146.18 = 294,596.66 : x
  2. Step 2: Convert to fraction form
    524,071.82/723,146.18 = 294,596.66/x
  3. Step 3: Cross multiply
    524,071.82x = 723,146.18 × 294,596.66
  4. Step 4: Simplify right side
    524,071.82x = 213,036,449,319.76
  5. Step 5: Solve for x
    x = 213,036,449,319.76/524,071.82
  6. Step 6: Final answer
    x = 406,502.39

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Double scale
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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.