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Finding the Fourth Proportional to 338,603.40, 507,909.42 and 233,394.12

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Solution

The fourth proportional to 338,603.40, 507,909.42 and 233,394.12 is: 350,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,603.40 : 507,909.42 = 233,394.12 : x
  2. Step 2: Convert to fraction form
    338,603.40/507,909.42 = 233,394.12/x
  3. Step 3: Cross multiply
    338,603.40x = 507,909.42 × 233,394.12
  4. Step 4: Simplify right side
    338,603.40x = 118,543,072,120.61
  5. Step 5: Solve for x
    x = 118,543,072,120.61/338,603.40
  6. Step 6: Final answer
    x = 350,094.16

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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.