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Finding the Fourth Proportional to 610,259.16, 842,207.37 and 338,412.30

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Solution

The fourth proportional to 610,259.16, 842,207.37 and 338,412.30 is: 467,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,259.16 : 842,207.37 = 338,412.30 : x
  2. Step 2: Convert to fraction form
    610,259.16/842,207.37 = 338,412.30/x
  3. Step 3: Cross multiply
    610,259.16x = 842,207.37 × 338,412.30
  4. Step 4: Simplify right side
    610,259.16x = 285,013,333,158.65
  5. Step 5: Solve for x
    x = 285,013,333,158.65/610,259.16
  6. Step 6: Final answer
    x = 467,036.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.