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Finding the Fourth Proportional to 468,009.70, 702,014.55 and 310,416.10

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Solution

The fourth proportional to 468,009.70, 702,014.55 and 310,416.10 is: 465,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,009.70 : 702,014.55 = 310,416.10 : x
  2. Step 2: Convert to fraction form
    468,009.70/702,014.55 = 310,416.10/x
  3. Step 3: Cross multiply
    468,009.70x = 702,014.55 × 310,416.10
  4. Step 4: Simplify right side
    468,009.70x = 217,916,618,754.26
  5. Step 5: Solve for x
    x = 217,916,618,754.26/468,009.70
  6. Step 6: Final answer
    x = 465,624.15

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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.