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Finding the Fourth Proportional to 506,123.78, 697,998.14 and 419,946.06

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Solution

The fourth proportional to 506,123.78, 697,998.14 and 419,946.06 is: 579,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,123.78 : 697,998.14 = 419,946.06 : x
  2. Step 2: Convert to fraction form
    506,123.78/697,998.14 = 419,946.06/x
  3. Step 3: Cross multiply
    506,123.78x = 697,998.14 × 419,946.06
  4. Step 4: Simplify right side
    506,123.78x = 293,121,570,872.89
  5. Step 5: Solve for x
    x = 293,121,570,872.89/506,123.78
  6. Step 6: Final answer
    x = 579,149.97

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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.