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Finding the Fourth Proportional to 314,294.61, 433,735.78 and 171,063.93

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Solution

The fourth proportional to 314,294.61, 433,735.78 and 171,063.93 is: 236,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,294.61 : 433,735.78 = 171,063.93 : x
  2. Step 2: Convert to fraction form
    314,294.61/433,735.78 = 171,063.93/x
  3. Step 3: Cross multiply
    314,294.61x = 433,735.78 × 171,063.93
  4. Step 4: Simplify right side
    314,294.61x = 74,196,547,108.42
  5. Step 5: Solve for x
    x = 74,196,547,108.42/314,294.61
  6. Step 6: Final answer
    x = 236,073.24

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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.