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Finding the Fourth Proportional to 514,013.76, 709,392 and 296,230.08

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Solution

The fourth proportional to 514,013.76, 709,392 and 296,230.08 is: 408,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,013.76 : 709,392 = 296,230.08 : x
  2. Step 2: Convert to fraction form
    514,013.76/709,392 = 296,230.08/x
  3. Step 3: Cross multiply
    514,013.76x = 709,392 × 296,230.08
  4. Step 4: Simplify right side
    514,013.76x = 210,143,248,911.36
  5. Step 5: Solve for x
    x = 210,143,248,911.36/514,013.76
  6. Step 6: Final answer
    x = 408,828.06

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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.