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Finding the Fourth Proportional to 319,069.64, 440,319.06 and 175,834.82

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Solution

The fourth proportional to 319,069.64, 440,319.06 and 175,834.82 is: 242,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,069.64 : 440,319.06 = 175,834.82 : x
  2. Step 2: Convert to fraction form
    319,069.64/440,319.06 = 175,834.82/x
  3. Step 3: Cross multiply
    319,069.64x = 440,319.06 × 175,834.82
  4. Step 4: Simplify right side
    319,069.64x = 77,423,422,657.67
  5. Step 5: Solve for x
    x = 77,423,422,657.67/319,069.64
  6. Step 6: Final answer
    x = 242,653.68

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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.