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Finding the Fourth Proportional to 433,323.30, 597,985.70 and 242,336.69

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Solution

The fourth proportional to 433,323.30, 597,985.70 and 242,336.69 is: 334,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,323.30 : 597,985.70 = 242,336.69 : x
  2. Step 2: Convert to fraction form
    433,323.30/597,985.70 = 242,336.69/x
  3. Step 3: Cross multiply
    433,323.30x = 597,985.70 × 242,336.69
  4. Step 4: Simplify right side
    433,323.30x = 144,913,877,052.39
  5. Step 5: Solve for x
    x = 144,913,877,052.39/433,323.30
  6. Step 6: Final answer
    x = 334,424.38

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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.