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Finding the Fourth Proportional to 369,810.54, 510,401.14 and 214,737.66

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Solution

The fourth proportional to 369,810.54, 510,401.14 and 214,737.66 is: 296,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,810.54 : 510,401.14 = 214,737.66 : x
  2. Step 2: Convert to fraction form
    369,810.54/510,401.14 = 214,737.66/x
  3. Step 3: Cross multiply
    369,810.54x = 510,401.14 × 214,737.66
  4. Step 4: Simplify right side
    369,810.54x = 109,602,346,464.93
  5. Step 5: Solve for x
    x = 109,602,346,464.93/369,810.54
  6. Step 6: Final answer
    x = 296,374.32

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1.5x scale

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.