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Finding the Fourth Proportional to 657,641.80, 986,721.90 and 258,214.60

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Solution

The fourth proportional to 657,641.80, 986,721.90 and 258,214.60 is: 387,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,641.80 : 986,721.90 = 258,214.60 : x
  2. Step 2: Convert to fraction form
    657,641.80/986,721.90 = 258,214.60/x
  3. Step 3: Cross multiply
    657,641.80x = 986,721.90 × 258,214.60
  4. Step 4: Simplify right side
    657,641.80x = 254,786,000,719.74
  5. Step 5: Solve for x
    x = 254,786,000,719.74/657,641.80
  6. Step 6: Final answer
    x = 387,423.67

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1.5x scale

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.