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Finding the Fourth Proportional to 360,294.76, 497,085.54 and 233,131.24

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Solution

The fourth proportional to 360,294.76, 497,085.54 and 233,131.24 is: 321,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,294.76 : 497,085.54 = 233,131.24 : x
  2. Step 2: Convert to fraction form
    360,294.76/497,085.54 = 233,131.24/x
  3. Step 3: Cross multiply
    360,294.76x = 497,085.54 × 233,131.24
  4. Step 4: Simplify right side
    360,294.76x = 115,886,168,326.27
  5. Step 5: Solve for x
    x = 115,886,168,326.27/360,294.76
  6. Step 6: Final answer
    x = 321,642.67

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Double scale
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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.