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Finding the Fourth Proportional to 510,730, 766,095 and 160,522

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Solution

The fourth proportional to 510,730, 766,095 and 160,522 is: 240,783

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,730 : 766,095 = 160,522 : x
  2. Step 2: Convert to fraction form
    510,730/766,095 = 160,522/x
  3. Step 3: Cross multiply
    510,730x = 766,095 × 160,522
  4. Step 4: Simplify right side
    510,730x = 122,975,101,590
  5. Step 5: Solve for x
    x = 122,975,101,590/510,730
  6. Step 6: Final answer
    x = 240,783

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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.