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Finding the Fourth Proportional to 359,004, 538,506 and 96,348

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Solution

The fourth proportional to 359,004, 538,506 and 96,348 is: 144,522

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,004 : 538,506 = 96,348 : x
  2. Step 2: Convert to fraction form
    359,004/538,506 = 96,348/x
  3. Step 3: Cross multiply
    359,004x = 538,506 × 96,348
  4. Step 4: Simplify right side
    359,004x = 51,883,976,088
  5. Step 5: Solve for x
    x = 51,883,976,088/359,004
  6. Step 6: Final answer
    x = 144,522

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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.