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Finding the Fourth Proportional to 514,444.60, 709,697.19 and 333,217

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Solution

The fourth proportional to 514,444.60, 709,697.19 and 333,217 is: 459,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,444.60 : 709,697.19 = 333,217 : x
  2. Step 2: Convert to fraction form
    514,444.60/709,697.19 = 333,217/x
  3. Step 3: Cross multiply
    514,444.60x = 709,697.19 × 333,217
  4. Step 4: Simplify right side
    514,444.60x = 236,483,168,560.23
  5. Step 5: Solve for x
    x = 236,483,168,560.23/514,444.60
  6. Step 6: Final answer
    x = 459,686.37

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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.