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Finding the Fourth Proportional to 509,324.40, 763,111.80 and 242,510.40

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Solution

The fourth proportional to 509,324.40, 763,111.80 and 242,510.40 is: 363,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,324.40 : 763,111.80 = 242,510.40 : x
  2. Step 2: Convert to fraction form
    509,324.40/763,111.80 = 242,510.40/x
  3. Step 3: Cross multiply
    509,324.40x = 763,111.80 × 242,510.40
  4. Step 4: Simplify right side
    509,324.40x = 185,062,547,862.72
  5. Step 5: Solve for x
    x = 185,062,547,862.72/509,324.40
  6. Step 6: Final answer
    x = 363,349.07

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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.