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Finding the Fourth Proportional to 513,053.22, 708,008.22 and 286,698.72

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Solution

The fourth proportional to 513,053.22, 708,008.22 and 286,698.72 is: 395,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,053.22 : 708,008.22 = 286,698.72 : x
  2. Step 2: Convert to fraction form
    513,053.22/708,008.22 = 286,698.72/x
  3. Step 3: Cross multiply
    513,053.22x = 708,008.22 × 286,698.72
  4. Step 4: Simplify right side
    513,053.22x = 202,985,050,423.48
  5. Step 5: Solve for x
    x = 202,985,050,423.48/513,053.22
  6. Step 6: Final answer
    x = 395,641.31

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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.