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Finding the Fourth Proportional to 310,224.90, 433,429.13 and 310,224.90

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Solution

The fourth proportional to 310,224.90, 433,429.13 and 310,224.90 is: 433,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,224.90 : 433,429.13 = 310,224.90 : x
  2. Step 2: Convert to fraction form
    310,224.90/433,429.13 = 310,224.90/x
  3. Step 3: Cross multiply
    310,224.90x = 433,429.13 × 310,224.90
  4. Step 4: Simplify right side
    310,224.90x = 134,460,506,960.21
  5. Step 5: Solve for x
    x = 134,460,506,960.21/310,224.90
  6. Step 6: Final answer
    x = 433,429.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.