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Finding the Fourth Proportional to 704,314.72, 971,948.64 and 382,024

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Solution

The fourth proportional to 704,314.72, 971,948.64 and 382,024 is: 527,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,314.72 : 971,948.64 = 382,024 : x
  2. Step 2: Convert to fraction form
    704,314.72/971,948.64 = 382,024/x
  3. Step 3: Cross multiply
    704,314.72x = 971,948.64 × 382,024
  4. Step 4: Simplify right side
    704,314.72x = 371,307,707,247.36
  5. Step 5: Solve for x
    x = 371,307,707,247.36/704,314.72
  6. Step 6: Final answer
    x = 527,190.04

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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.