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Finding the Fourth Proportional to 654,844.94, 903,605.18 and 413,036.18

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Solution

The fourth proportional to 654,844.94, 903,605.18 and 413,036.18 is: 569,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,844.94 : 903,605.18 = 413,036.18 : x
  2. Step 2: Convert to fraction form
    654,844.94/903,605.18 = 413,036.18/x
  3. Step 3: Cross multiply
    654,844.94x = 903,605.18 × 413,036.18
  4. Step 4: Simplify right side
    654,844.94x = 373,221,631,775.41
  5. Step 5: Solve for x
    x = 373,221,631,775.41/654,844.94
  6. Step 6: Final answer
    x = 569,938.94

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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.