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Finding the Fourth Proportional to 497,573.68, 686,109.02 and 336,148.44

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Solution

The fourth proportional to 497,573.68, 686,109.02 and 336,148.44 is: 463,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,573.68 : 686,109.02 = 336,148.44 : x
  2. Step 2: Convert to fraction form
    497,573.68/686,109.02 = 336,148.44/x
  3. Step 3: Cross multiply
    497,573.68x = 686,109.02 × 336,148.44
  4. Step 4: Simplify right side
    497,573.68x = 230,634,476,742.93
  5. Step 5: Solve for x
    x = 230,634,476,742.93/497,573.68
  6. Step 6: Final answer
    x = 463,518.24

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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.