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Finding the Fourth Proportional to 514,341, 709,626.56 and 333,191.79

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Solution

The fourth proportional to 514,341, 709,626.56 and 333,191.79 is: 459,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,341 : 709,626.56 = 333,191.79 : x
  2. Step 2: Convert to fraction form
    514,341/709,626.56 = 333,191.79/x
  3. Step 3: Cross multiply
    514,341x = 709,626.56 × 333,191.79
  4. Step 4: Simplify right side
    514,341x = 236,441,742,091.98
  5. Step 5: Solve for x
    x = 236,441,742,091.98/514,341
  6. Step 6: Final answer
    x = 459,698.41

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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.