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Finding the Fourth Proportional to 473,858.02, 710,682.20 and 136,825.52

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Solution

The fourth proportional to 473,858.02, 710,682.20 and 136,825.52 is: 205,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,858.02 : 710,682.20 = 136,825.52 : x
  2. Step 2: Convert to fraction form
    473,858.02/710,682.20 = 136,825.52/x
  3. Step 3: Cross multiply
    473,858.02x = 710,682.20 × 136,825.52
  4. Step 4: Simplify right side
    473,858.02x = 97,239,461,569.74
  5. Step 5: Solve for x
    x = 97,239,461,569.74/473,858.02
  6. Step 6: Final answer
    x = 205,208.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.