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Finding the Fourth Proportional to 652,097.80, 978,146.70 and 540,123.40

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Solution

The fourth proportional to 652,097.80, 978,146.70 and 540,123.40 is: 810,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,097.80 : 978,146.70 = 540,123.40 : x
  2. Step 2: Convert to fraction form
    652,097.80/978,146.70 = 540,123.40/x
  3. Step 3: Cross multiply
    652,097.80x = 978,146.70 × 540,123.40
  4. Step 4: Simplify right side
    652,097.80x = 528,319,921,302.78
  5. Step 5: Solve for x
    x = 528,319,921,302.78/652,097.80
  6. Step 6: Final answer
    x = 810,185.10

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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.