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Finding the Fourth Proportional to 466,299.02, 643,492.67 and 265,095.02

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Solution

The fourth proportional to 466,299.02, 643,492.67 and 265,095.02 is: 365,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,299.02 : 643,492.67 = 265,095.02 : x
  2. Step 2: Convert to fraction form
    466,299.02/643,492.67 = 265,095.02/x
  3. Step 3: Cross multiply
    466,299.02x = 643,492.67 × 265,095.02
  4. Step 4: Simplify right side
    466,299.02x = 170,586,702,223.50
  5. Step 5: Solve for x
    x = 170,586,702,223.50/466,299.02
  6. Step 6: Final answer
    x = 365,831.14

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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.