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Finding the Fourth Proportional to 421,166.64, 581,211 and 230,182.32

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Solution

The fourth proportional to 421,166.64, 581,211 and 230,182.32 is: 317,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,166.64 : 581,211 = 230,182.32 : x
  2. Step 2: Convert to fraction form
    421,166.64/581,211 = 230,182.32/x
  3. Step 3: Cross multiply
    421,166.64x = 581,211 × 230,182.32
  4. Step 4: Simplify right side
    421,166.64x = 133,784,496,389.52
  5. Step 5: Solve for x
    x = 133,784,496,389.52/421,166.64
  6. Step 6: Final answer
    x = 317,652.17

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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.