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Finding the Fourth Proportional to 385,136.16, 577,223.02 and 185,403.12

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Solution

The fourth proportional to 385,136.16, 577,223.02 and 185,403.12 is: 277,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,136.16 : 577,223.02 = 185,403.12 : x
  2. Step 2: Convert to fraction form
    385,136.16/577,223.02 = 185,403.12/x
  3. Step 3: Cross multiply
    385,136.16x = 577,223.02 × 185,403.12
  4. Step 4: Simplify right side
    385,136.16x = 107,018,948,843.82
  5. Step 5: Solve for x
    x = 107,018,948,843.82/385,136.16
  6. Step 6: Final answer
    x = 277,873.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.