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Finding the Fourth Proportional to 647,476.70, 971,215.05 and 608,078.30

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Solution

The fourth proportional to 647,476.70, 971,215.05 and 608,078.30 is: 912,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,476.70 : 971,215.05 = 608,078.30 : x
  2. Step 2: Convert to fraction form
    647,476.70/971,215.05 = 608,078.30/x
  3. Step 3: Cross multiply
    647,476.70x = 971,215.05 × 608,078.30
  4. Step 4: Simplify right side
    647,476.70x = 590,574,796,538.42
  5. Step 5: Solve for x
    x = 590,574,796,538.42/647,476.70
  6. Step 6: Final answer
    x = 912,117.45

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Why These Related Problems?

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