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Finding the Fourth Proportional to 473,257.59, 709,887.57 and 188,971.28

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Solution

The fourth proportional to 473,257.59, 709,887.57 and 188,971.28 is: 283,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,257.59 : 709,887.57 = 188,971.28 : x
  2. Step 2: Convert to fraction form
    473,257.59/709,887.57 = 188,971.28/x
  3. Step 3: Cross multiply
    473,257.59x = 709,887.57 × 188,971.28
  4. Step 4: Simplify right side
    473,257.59x = 134,148,364,533.71
  5. Step 5: Solve for x
    x = 134,148,364,533.71/473,257.59
  6. Step 6: Final answer
    x = 283,457.40

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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.