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Finding the Fourth Proportional to 663,783, 916,089.66 and 409,127.64

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Solution

The fourth proportional to 663,783, 916,089.66 and 409,127.64 is: 564,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,783 : 916,089.66 = 409,127.64 : x
  2. Step 2: Convert to fraction form
    663,783/916,089.66 = 409,127.64/x
  3. Step 3: Cross multiply
    663,783x = 916,089.66 × 409,127.64
  4. Step 4: Simplify right side
    663,783x = 374,797,600,624.20
  5. Step 5: Solve for x
    x = 374,797,600,624.20/663,783
  6. Step 6: Final answer
    x = 564,638.75

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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.