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Finding the Fourth Proportional to 314,783.75, 434,401.65 and 171,543.83

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Solution

The fourth proportional to 314,783.75, 434,401.65 and 171,543.83 is: 236,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,783.75 : 434,401.65 = 171,543.83 : x
  2. Step 2: Convert to fraction form
    314,783.75/434,401.65 = 171,543.83/x
  3. Step 3: Cross multiply
    314,783.75x = 434,401.65 × 171,543.83
  4. Step 4: Simplify right side
    314,783.75x = 74,518,920,627.31
  5. Step 5: Solve for x
    x = 74,518,920,627.31/314,783.75
  6. Step 6: Final answer
    x = 236,730.52

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1.5x scale

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.