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Finding the Fourth Proportional to 472,602.10, 652,199.25 and 257,750.02

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Solution

The fourth proportional to 472,602.10, 652,199.25 and 257,750.02 is: 355,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,602.10 : 652,199.25 = 257,750.02 : x
  2. Step 2: Convert to fraction form
    472,602.10/652,199.25 = 257,750.02/x
  3. Step 3: Cross multiply
    472,602.10x = 652,199.25 × 257,750.02
  4. Step 4: Simplify right side
    472,602.10x = 168,104,369,731.49
  5. Step 5: Solve for x
    x = 168,104,369,731.49/472,602.10
  6. Step 6: Final answer
    x = 355,699.58

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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.