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Finding the Fourth Proportional to 509,483.54, 703,031.46 and 294,591.08

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Solution

The fourth proportional to 509,483.54, 703,031.46 and 294,591.08 is: 406,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,483.54 : 703,031.46 = 294,591.08 : x
  2. Step 2: Convert to fraction form
    509,483.54/703,031.46 = 294,591.08/x
  3. Step 3: Cross multiply
    509,483.54x = 703,031.46 × 294,591.08
  4. Step 4: Simplify right side
    509,483.54x = 207,106,797,075.38
  5. Step 5: Solve for x
    x = 207,106,797,075.38/509,483.54
  6. Step 6: Final answer
    x = 406,503.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.