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Finding the Fourth Proportional to 264,368.29, 364,828.70 and 143,509.66

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Solution

The fourth proportional to 264,368.29, 364,828.70 and 143,509.66 is: 198,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,368.29 : 364,828.70 = 143,509.66 : x
  2. Step 2: Convert to fraction form
    264,368.29/364,828.70 = 143,509.66/x
  3. Step 3: Cross multiply
    264,368.29x = 364,828.70 × 143,509.66
  4. Step 4: Simplify right side
    264,368.29x = 52,356,442,343.75
  5. Step 5: Solve for x
    x = 52,356,442,343.75/264,368.29
  6. Step 6: Final answer
    x = 198,043.58

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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.