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Finding the Fourth Proportional to 506,097.42, 697,962.03 and 419,919.90

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Solution

The fourth proportional to 506,097.42, 697,962.03 and 419,919.90 is: 579,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,097.42 : 697,962.03 = 419,919.90 : x
  2. Step 2: Convert to fraction form
    506,097.42/697,962.03 = 419,919.90/x
  3. Step 3: Cross multiply
    506,097.42x = 697,962.03 × 419,919.90
  4. Step 4: Simplify right side
    506,097.42x = 293,088,145,841.40
  5. Step 5: Solve for x
    x = 293,088,145,841.40/506,097.42
  6. Step 6: Final answer
    x = 579,114.09

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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.