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Finding the Fourth Proportional to 516,210.21, 712,345.86 and 286,782.30

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Solution

The fourth proportional to 516,210.21, 712,345.86 and 286,782.30 is: 395,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,210.21 : 712,345.86 = 286,782.30 : x
  2. Step 2: Convert to fraction form
    516,210.21/712,345.86 = 286,782.30/x
  3. Step 3: Cross multiply
    516,210.21x = 712,345.86 × 286,782.30
  4. Step 4: Simplify right side
    516,210.21x = 204,288,184,126.28
  5. Step 5: Solve for x
    x = 204,288,184,126.28/516,210.21
  6. Step 6: Final answer
    x = 395,746.11

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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.