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Finding the Fourth Proportional to 602,083.22, 830,901.12 and 360,319.82

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Solution

The fourth proportional to 602,083.22, 830,901.12 and 360,319.82 is: 497,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,083.22 : 830,901.12 = 360,319.82 : x
  2. Step 2: Convert to fraction form
    602,083.22/830,901.12 = 360,319.82/x
  3. Step 3: Cross multiply
    602,083.22x = 830,901.12 × 360,319.82
  4. Step 4: Simplify right side
    602,083.22x = 299,390,141,996.20
  5. Step 5: Solve for x
    x = 299,390,141,996.20/602,083.22
  6. Step 6: Final answer
    x = 497,257.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.