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Finding the Fourth Proportional to 652,459.16, 900,391.80 and 362,114.56

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Solution

The fourth proportional to 652,459.16, 900,391.80 and 362,114.56 is: 499,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,459.16 : 900,391.80 = 362,114.56 : x
  2. Step 2: Convert to fraction form
    652,459.16/900,391.80 = 362,114.56/x
  3. Step 3: Cross multiply
    652,459.16x = 900,391.80 × 362,114.56
  4. Step 4: Simplify right side
    652,459.16x = 326,044,980,484.61
  5. Step 5: Solve for x
    x = 326,044,980,484.61/652,459.16
  6. Step 6: Final answer
    x = 499,717.07

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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.