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Finding the Fourth Proportional to 233,572.94, 320,228.40 and 229,316.57

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Solution

The fourth proportional to 233,572.94, 320,228.40 and 229,316.57 is: 314,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,572.94 : 320,228.40 = 229,316.57 : x
  2. Step 2: Convert to fraction form
    233,572.94/320,228.40 = 229,316.57/x
  3. Step 3: Cross multiply
    233,572.94x = 320,228.40 × 229,316.57
  4. Step 4: Simplify right side
    233,572.94x = 73,433,676,703.45
  5. Step 5: Solve for x
    x = 73,433,676,703.45/233,572.94
  6. Step 6: Final answer
    x = 314,392.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.