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Finding the Fourth Proportional to 233,539.74, 322,392.15 and 152,970.66

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Solution

The fourth proportional to 233,539.74, 322,392.15 and 152,970.66 is: 211,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,539.74 : 322,392.15 = 152,970.66 : x
  2. Step 2: Convert to fraction form
    233,539.74/322,392.15 = 152,970.66/x
  3. Step 3: Cross multiply
    233,539.74x = 322,392.15 × 152,970.66
  4. Step 4: Simplify right side
    233,539.74x = 49,316,539,964.32
  5. Step 5: Solve for x
    x = 49,316,539,964.32/233,539.74
  6. Step 6: Final answer
    x = 211,169.80

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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.