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Finding the Fourth Proportional to 697,638.72, 963,033.76 and 471,590.40

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Solution

The fourth proportional to 697,638.72, 963,033.76 and 471,590.40 is: 650,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,638.72 : 963,033.76 = 471,590.40 : x
  2. Step 2: Convert to fraction form
    697,638.72/963,033.76 = 471,590.40/x
  3. Step 3: Cross multiply
    697,638.72x = 963,033.76 × 471,590.40
  4. Step 4: Simplify right side
    697,638.72x = 454,157,476,091.90
  5. Step 5: Solve for x
    x = 454,157,476,091.90/697,638.72
  6. Step 6: Final answer
    x = 650,992.36

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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.