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Finding the Fourth Proportional to 314,780.83, 434,384.90 and 171,537.80

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Solution

The fourth proportional to 314,780.83, 434,384.90 and 171,537.80 is: 236,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,780.83 : 434,384.90 = 171,537.80 : x
  2. Step 2: Convert to fraction form
    314,780.83/434,384.90 = 171,537.80/x
  3. Step 3: Cross multiply
    314,780.83x = 434,384.90 × 171,537.80
  4. Step 4: Simplify right side
    314,780.83x = 74,513,430,638.74
  5. Step 5: Solve for x
    x = 74,513,430,638.74/314,780.83
  6. Step 6: Final answer
    x = 236,715.27

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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.