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Finding the Fourth Proportional to 359,733.60, 540,075.60 and 288,695.52

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Solution

The fourth proportional to 359,733.60, 540,075.60 and 288,695.52 is: 433,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,733.60 : 540,075.60 = 288,695.52 : x
  2. Step 2: Convert to fraction form
    359,733.60/540,075.60 = 288,695.52/x
  3. Step 3: Cross multiply
    359,733.60x = 540,075.60 × 288,695.52
  4. Step 4: Simplify right side
    359,733.60x = 155,917,406,181.31
  5. Step 5: Solve for x
    x = 155,917,406,181.31/359,733.60
  6. Step 6: Final answer
    x = 433,424.64

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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.