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Finding the Fourth Proportional to 517,312.63, 713,953.56 and 313,357.57

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Solution

The fourth proportional to 517,312.63, 713,953.56 and 313,357.57 is: 432,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,312.63 : 713,953.56 = 313,357.57 : x
  2. Step 2: Convert to fraction form
    517,312.63/713,953.56 = 313,357.57/x
  3. Step 3: Cross multiply
    517,312.63x = 713,953.56 × 313,357.57
  4. Step 4: Simplify right side
    517,312.63x = 223,722,750,869.57
  5. Step 5: Solve for x
    x = 223,722,750,869.57/517,312.63
  6. Step 6: Final answer
    x = 432,471.08

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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.