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Finding the Fourth Proportional to 705,701.16, 974,021.58 and 434,002.80

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Solution

The fourth proportional to 705,701.16, 974,021.58 and 434,002.80 is: 599,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,701.16 : 974,021.58 = 434,002.80 : x
  2. Step 2: Convert to fraction form
    705,701.16/974,021.58 = 434,002.80/x
  3. Step 3: Cross multiply
    705,701.16x = 974,021.58 × 434,002.80
  4. Step 4: Simplify right side
    705,701.16x = 422,728,092,980.42
  5. Step 5: Solve for x
    x = 422,728,092,980.42/705,701.16
  6. Step 6: Final answer
    x = 599,018.56

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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.