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Finding the Fourth Proportional to 314,038.88, 433,375.76 and 170,800

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Solution

The fourth proportional to 314,038.88, 433,375.76 and 170,800 is: 235,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,038.88 : 433,375.76 = 170,800 : x
  2. Step 2: Convert to fraction form
    314,038.88/433,375.76 = 170,800/x
  3. Step 3: Cross multiply
    314,038.88x = 433,375.76 × 170,800
  4. Step 4: Simplify right side
    314,038.88x = 74,020,579,808
  5. Step 5: Solve for x
    x = 74,020,579,808/314,038.88
  6. Step 6: Final answer
    x = 235,705.15

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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.