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Finding the Fourth Proportional to 514,317.51, 771,259.86 and 194,415.57

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Solution

The fourth proportional to 514,317.51, 771,259.86 and 194,415.57 is: 291,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,317.51 : 771,259.86 = 194,415.57 : x
  2. Step 2: Convert to fraction form
    514,317.51/771,259.86 = 194,415.57/x
  3. Step 3: Cross multiply
    514,317.51x = 771,259.86 × 194,415.57
  4. Step 4: Simplify right side
    514,317.51x = 149,944,925,300.02
  5. Step 5: Solve for x
    x = 149,944,925,300.02/514,317.51
  6. Step 6: Final answer
    x = 291,541.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.