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Finding the Fourth Proportional to 346,644.99, 522,333.59 and 284,849.40

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Solution

The fourth proportional to 346,644.99, 522,333.59 and 284,849.40 is: 429,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,644.99 : 522,333.59 = 284,849.40 : x
  2. Step 2: Convert to fraction form
    346,644.99/522,333.59 = 284,849.40/x
  3. Step 3: Cross multiply
    346,644.99x = 522,333.59 × 284,849.40
  4. Step 4: Simplify right side
    346,644.99x = 148,786,411,981.65
  5. Step 5: Solve for x
    x = 148,786,411,981.65/346,644.99
  6. Step 6: Final answer
    x = 429,218.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.