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Finding the Fourth Proportional to 287,011.76, 430,507.98 and 154,151.51

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Solution

The fourth proportional to 287,011.76, 430,507.98 and 154,151.51 is: 231,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,011.76 : 430,507.98 = 154,151.51 : x
  2. Step 2: Convert to fraction form
    287,011.76/430,507.98 = 154,151.51/x
  3. Step 3: Cross multiply
    287,011.76x = 430,507.98 × 154,151.51
  4. Step 4: Simplify right side
    287,011.76x = 66,363,453,031.51
  5. Step 5: Solve for x
    x = 66,363,453,031.51/287,011.76
  6. Step 6: Final answer
    x = 231,222.07

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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.