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Finding the Fourth Proportional to 430,644.96, 593,674.08 and 302,924.16

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Solution

The fourth proportional to 430,644.96, 593,674.08 and 302,924.16 is: 417,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,644.96 : 593,674.08 = 302,924.16 : x
  2. Step 2: Convert to fraction form
    430,644.96/593,674.08 = 302,924.16/x
  3. Step 3: Cross multiply
    430,644.96x = 593,674.08 × 302,924.16
  4. Step 4: Simplify right side
    430,644.96x = 179,838,221,997.77
  5. Step 5: Solve for x
    x = 179,838,221,997.77/430,644.96
  6. Step 6: Final answer
    x = 417,602.06

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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.