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Finding the Fourth Proportional to 233,263.40, 349,311.90 and 153,948.20

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Solution

The fourth proportional to 233,263.40, 349,311.90 and 153,948.20 is: 230,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,263.40 : 349,311.90 = 153,948.20 : x
  2. Step 2: Convert to fraction form
    233,263.40/349,311.90 = 153,948.20/x
  3. Step 3: Cross multiply
    233,263.40x = 349,311.90 × 153,948.20
  4. Step 4: Simplify right side
    233,263.40x = 53,775,938,243.58
  5. Step 5: Solve for x
    x = 53,775,938,243.58/233,263.40
  6. Step 6: Final answer
    x = 230,537.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.