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Finding the Fourth Proportional to 413,615.45, 577,880.65 and 413,615.45

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Solution

The fourth proportional to 413,615.45, 577,880.65 and 413,615.45 is: 577,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,615.45 : 577,880.65 = 413,615.45 : x
  2. Step 2: Convert to fraction form
    413,615.45/577,880.65 = 413,615.45/x
  3. Step 3: Cross multiply
    413,615.45x = 577,880.65 × 413,615.45
  4. Step 4: Simplify right side
    413,615.45x = 239,020,365,096.04
  5. Step 5: Solve for x
    x = 239,020,365,096.04/413,615.45
  6. Step 6: Final answer
    x = 577,880.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.