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Finding the Fourth Proportional to 578,461.41, 797,499.41 and 406,148.49

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Solution

The fourth proportional to 578,461.41, 797,499.41 and 406,148.49 is: 559,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,461.41 : 797,499.41 = 406,148.49 : x
  2. Step 2: Convert to fraction form
    578,461.41/797,499.41 = 406,148.49/x
  3. Step 3: Cross multiply
    578,461.41x = 797,499.41 × 406,148.49
  4. Step 4: Simplify right side
    578,461.41x = 323,903,179,116.65
  5. Step 5: Solve for x
    x = 323,903,179,116.65/578,461.41
  6. Step 6: Final answer
    x = 559,939.13

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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.