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Finding the Fourth Proportional to 424,830.80, 586,266.64 and 233,842.80

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Solution

The fourth proportional to 424,830.80, 586,266.64 and 233,842.80 is: 322,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,830.80 : 586,266.64 = 233,842.80 : x
  2. Step 2: Convert to fraction form
    424,830.80/586,266.64 = 233,842.80/x
  3. Step 3: Cross multiply
    424,830.80x = 586,266.64 × 233,842.80
  4. Step 4: Simplify right side
    424,830.80x = 137,094,232,644.19
  5. Step 5: Solve for x
    x = 137,094,232,644.19/424,830.80
  6. Step 6: Final answer
    x = 322,703.14

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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.