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Finding the Fourth Proportional to 359,018.70, 538,528.05 and 109,698.54

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Solution

The fourth proportional to 359,018.70, 538,528.05 and 109,698.54 is: 164,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,018.70 : 538,528.05 = 109,698.54 : x
  2. Step 2: Convert to fraction form
    359,018.70/538,528.05 = 109,698.54/x
  3. Step 3: Cross multiply
    359,018.70x = 538,528.05 × 109,698.54
  4. Step 4: Simplify right side
    359,018.70x = 59,075,738,814.57
  5. Step 5: Solve for x
    x = 59,075,738,814.57/359,018.70
  6. Step 6: Final answer
    x = 164,547.81

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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.