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Finding the Fourth Proportional to 602,297.64, 902,241.95 and 362,278.98

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Solution

The fourth proportional to 602,297.64, 902,241.95 and 362,278.98 is: 542,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,297.64 : 902,241.95 = 362,278.98 : x
  2. Step 2: Convert to fraction form
    602,297.64/902,241.95 = 362,278.98/x
  3. Step 3: Cross multiply
    602,297.64x = 902,241.95 × 362,278.98
  4. Step 4: Simplify right side
    602,297.64x = 326,863,291,547.82
  5. Step 5: Solve for x
    x = 326,863,291,547.82/602,297.64
  6. Step 6: Final answer
    x = 542,693.96

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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.