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Finding the Fourth Proportional to 540,368, 810,552 and 146,384

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Solution

The fourth proportional to 540,368, 810,552 and 146,384 is: 219,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,368 : 810,552 = 146,384 : x
  2. Step 2: Convert to fraction form
    540,368/810,552 = 146,384/x
  3. Step 3: Cross multiply
    540,368x = 810,552 × 146,384
  4. Step 4: Simplify right side
    540,368x = 118,651,843,968
  5. Step 5: Solve for x
    x = 118,651,843,968/540,368
  6. Step 6: Final answer
    x = 219,576

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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.