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Finding the Fourth Proportional to 704,715.40, 1,057,386.30 and 284,811.40

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Solution

The fourth proportional to 704,715.40, 1,057,386.30 and 284,811.40 is: 427,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,715.40 : 1,057,386.30 = 284,811.40 : x
  2. Step 2: Convert to fraction form
    704,715.40/1,057,386.30 = 284,811.40/x
  3. Step 3: Cross multiply
    704,715.40x = 1,057,386.30 × 284,811.40
  4. Step 4: Simplify right side
    704,715.40x = 301,155,672,443.82
  5. Step 5: Solve for x
    x = 301,155,672,443.82/704,715.40
  6. Step 6: Final answer
    x = 427,343.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.