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Finding the Fourth Proportional to 524,081.42, 723,258 and 294,710.89

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Solution

The fourth proportional to 524,081.42, 723,258 and 294,710.89 is: 406,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,081.42 : 723,258 = 294,710.89 : x
  2. Step 2: Convert to fraction form
    524,081.42/723,258 = 294,710.89/x
  3. Step 3: Cross multiply
    524,081.42x = 723,258 × 294,710.89
  4. Step 4: Simplify right side
    524,081.42x = 213,152,007,071.48
  5. Step 5: Solve for x
    x = 213,152,007,071.48/524,081.42
  6. Step 6: Final answer
    x = 406,715.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.