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Finding the Fourth Proportional to 433,081.68, 597,653.40 and 242,094.84

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Solution

The fourth proportional to 433,081.68, 597,653.40 and 242,094.84 is: 334,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,081.68 : 597,653.40 = 242,094.84 : x
  2. Step 2: Convert to fraction form
    433,081.68/597,653.40 = 242,094.84/x
  3. Step 3: Cross multiply
    433,081.68x = 597,653.40 × 242,094.84
  4. Step 4: Simplify right side
    433,081.68x = 144,688,804,248.46
  5. Step 5: Solve for x
    x = 144,688,804,248.46/433,081.68
  6. Step 6: Final answer
    x = 334,091.26

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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.