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Finding the Fourth Proportional to 461,859, 692,808.66 and 146,339.16

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Solution

The fourth proportional to 461,859, 692,808.66 and 146,339.16 is: 219,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,859 : 692,808.66 = 146,339.16 : x
  2. Step 2: Convert to fraction form
    461,859/692,808.66 = 146,339.16/x
  3. Step 3: Cross multiply
    461,859x = 692,808.66 × 146,339.16
  4. Step 4: Simplify right side
    461,859x = 101,385,037,345.13
  5. Step 5: Solve for x
    x = 101,385,037,345.13/461,859
  6. Step 6: Final answer
    x = 219,515.13

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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.