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Finding the Fourth Proportional to 514,953.42, 710,596.53 and 288,555.18

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Solution

The fourth proportional to 514,953.42, 710,596.53 and 288,555.18 is: 398,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,953.42 : 710,596.53 = 288,555.18 : x
  2. Step 2: Convert to fraction form
    514,953.42/710,596.53 = 288,555.18/x
  3. Step 3: Cross multiply
    514,953.42x = 710,596.53 × 288,555.18
  4. Step 4: Simplify right side
    514,953.42x = 205,046,309,621.53
  5. Step 5: Solve for x
    x = 205,046,309,621.53/514,953.42
  6. Step 6: Final answer
    x = 398,184.19

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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.