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Finding the Fourth Proportional to 430,857.72, 594,496.80 and 260,993.16

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Solution

The fourth proportional to 430,857.72, 594,496.80 and 260,993.16 is: 360,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,857.72 : 594,496.80 = 260,993.16 : x
  2. Step 2: Convert to fraction form
    430,857.72/594,496.80 = 260,993.16/x
  3. Step 3: Cross multiply
    430,857.72x = 594,496.80 × 260,993.16
  4. Step 4: Simplify right side
    430,857.72x = 155,159,598,441.89
  5. Step 5: Solve for x
    x = 155,159,598,441.89/430,857.72
  6. Step 6: Final answer
    x = 360,117.95

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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.