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Finding the Fourth Proportional to 407,345.04, 610,938.45 and 204,887.16

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Solution

The fourth proportional to 407,345.04, 610,938.45 and 204,887.16 is: 307,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,345.04 : 610,938.45 = 204,887.16 : x
  2. Step 2: Convert to fraction form
    407,345.04/610,938.45 = 204,887.16/x
  3. Step 3: Cross multiply
    407,345.04x = 610,938.45 × 204,887.16
  4. Step 4: Simplify right side
    407,345.04x = 125,173,443,955.30
  5. Step 5: Solve for x
    x = 125,173,443,955.30/407,345.04
  6. Step 6: Final answer
    x = 307,290.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.