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Finding the Fourth Proportional to 338,402.98, 507,585.74 and 113,740.16

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Solution

The fourth proportional to 338,402.98, 507,585.74 and 113,740.16 is: 170,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,402.98 : 507,585.74 = 113,740.16 : x
  2. Step 2: Convert to fraction form
    338,402.98/507,585.74 = 113,740.16/x
  3. Step 3: Cross multiply
    338,402.98x = 507,585.74 × 113,740.16
  4. Step 4: Simplify right side
    338,402.98x = 57,732,883,281.32
  5. Step 5: Solve for x
    x = 57,732,883,281.32/338,402.98
  6. Step 6: Final answer
    x = 170,603.94

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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.