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Finding the Fourth Proportional to 369,275.16, 509,599.98 and 199,509.24

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Solution

The fourth proportional to 369,275.16, 509,599.98 and 199,509.24 is: 275,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,275.16 : 509,599.98 = 199,509.24 : x
  2. Step 2: Convert to fraction form
    369,275.16/509,599.98 = 199,509.24/x
  3. Step 3: Cross multiply
    369,275.16x = 509,599.98 × 199,509.24
  4. Step 4: Simplify right side
    369,275.16x = 101,669,904,713.82
  5. Step 5: Solve for x
    x = 101,669,904,713.82/369,275.16
  6. Step 6: Final answer
    x = 275,322.89

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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.