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Finding the Fourth Proportional to 359,075.50, 538,447.70 and 106,265.59

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Solution

The fourth proportional to 359,075.50, 538,447.70 and 106,265.59 is: 159,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,075.50 : 538,447.70 = 106,265.59 : x
  2. Step 2: Convert to fraction form
    359,075.50/538,447.70 = 106,265.59/x
  3. Step 3: Cross multiply
    359,075.50x = 538,447.70 × 106,265.59
  4. Step 4: Simplify right side
    359,075.50x = 57,218,461,444.19
  5. Step 5: Solve for x
    x = 57,218,461,444.19/359,075.50
  6. Step 6: Final answer
    x = 159,349.39

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1.5x scale

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.