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Finding the Fourth Proportional to 706,484.04, 974,605.05 and 419,801.10

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Solution

The fourth proportional to 706,484.04, 974,605.05 and 419,801.10 is: 579,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,484.04 : 974,605.05 = 419,801.10 : x
  2. Step 2: Convert to fraction form
    706,484.04/974,605.05 = 419,801.10/x
  3. Step 3: Cross multiply
    706,484.04x = 974,605.05 × 419,801.10
  4. Step 4: Simplify right side
    706,484.04x = 409,140,272,055.56
  5. Step 5: Solve for x
    x = 409,140,272,055.56/706,484.04
  6. Step 6: Final answer
    x = 579,121.75

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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.