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Finding the Fourth Proportional to 475,509.94, 656,270.84 and 294,280.23

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Solution

The fourth proportional to 475,509.94, 656,270.84 and 294,280.23 is: 406,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,509.94 : 656,270.84 = 294,280.23 : x
  2. Step 2: Convert to fraction form
    475,509.94/656,270.84 = 294,280.23/x
  3. Step 3: Cross multiply
    475,509.94x = 656,270.84 × 294,280.23
  4. Step 4: Simplify right side
    475,509.94x = 193,127,536,934.21
  5. Step 5: Solve for x
    x = 193,127,536,934.21/475,509.94
  6. Step 6: Final answer
    x = 406,148.27

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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.