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Finding the Fourth Proportional to 406,048.70, 607,345.05 and 364,231.10

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Solution

The fourth proportional to 406,048.70, 607,345.05 and 364,231.10 is: 544,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,048.70 : 607,345.05 = 364,231.10 : x
  2. Step 2: Convert to fraction form
    406,048.70/607,345.05 = 364,231.10/x
  3. Step 3: Cross multiply
    406,048.70x = 607,345.05 × 364,231.10
  4. Step 4: Simplify right side
    406,048.70x = 221,213,955,641.06
  5. Step 5: Solve for x
    x = 221,213,955,641.06/406,048.70
  6. Step 6: Final answer
    x = 544,796.61

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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.