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Finding the Fourth Proportional to 704,225.64, 971,828.58 and 381,934.44

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Solution

The fourth proportional to 704,225.64, 971,828.58 and 381,934.44 is: 527,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,225.64 : 971,828.58 = 381,934.44 : x
  2. Step 2: Convert to fraction form
    704,225.64/971,828.58 = 381,934.44/x
  3. Step 3: Cross multiply
    704,225.64x = 971,828.58 × 381,934.44
  4. Step 4: Simplify right side
    704,225.64x = 371,174,804,478.30
  5. Step 5: Solve for x
    x = 371,174,804,478.30/704,225.64
  6. Step 6: Final answer
    x = 527,068.01

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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.