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Finding the Fourth Proportional to 472,681.14, 652,540.77 and 365,009.46

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Solution

The fourth proportional to 472,681.14, 652,540.77 and 365,009.46 is: 503,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,681.14 : 652,540.77 = 365,009.46 : x
  2. Step 2: Convert to fraction form
    472,681.14/652,540.77 = 365,009.46/x
  3. Step 3: Cross multiply
    472,681.14x = 652,540.77 × 365,009.46
  4. Step 4: Simplify right side
    472,681.14x = 238,183,554,085.68
  5. Step 5: Solve for x
    x = 238,183,554,085.68/472,681.14
  6. Step 6: Final answer
    x = 503,899.00

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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.