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Finding the Fourth Proportional to 513,011.14, 707,953.89 and 286,656.82

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Solution

The fourth proportional to 513,011.14, 707,953.89 and 286,656.82 is: 395,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,011.14 : 707,953.89 = 286,656.82 : x
  2. Step 2: Convert to fraction form
    513,011.14/707,953.89 = 286,656.82/x
  3. Step 3: Cross multiply
    513,011.14x = 707,953.89 × 286,656.82
  4. Step 4: Simplify right side
    513,011.14x = 202,939,810,814.03
  5. Step 5: Solve for x
    x = 202,939,810,814.03/513,011.14
  6. Step 6: Final answer
    x = 395,585.58

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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.