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Finding the Fourth Proportional to 233,549.34, 319,963.76 and 224,802.60

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Solution

The fourth proportional to 233,549.34, 319,963.76 and 224,802.60 is: 307,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,549.34 : 319,963.76 = 224,802.60 : x
  2. Step 2: Convert to fraction form
    233,549.34/319,963.76 = 224,802.60/x
  3. Step 3: Cross multiply
    233,549.34x = 319,963.76 × 224,802.60
  4. Step 4: Simplify right side
    233,549.34x = 71,928,684,029.76
  5. Step 5: Solve for x
    x = 71,928,684,029.76/233,549.34
  6. Step 6: Final answer
    x = 307,980.68

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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.