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Finding the Fourth Proportional to 430,431.88, 593,750.10 and 258,303.64

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Solution

The fourth proportional to 430,431.88, 593,750.10 and 258,303.64 is: 356,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,431.88 : 593,750.10 = 258,303.64 : x
  2. Step 2: Convert to fraction form
    430,431.88/593,750.10 = 258,303.64/x
  3. Step 3: Cross multiply
    430,431.88x = 593,750.10 × 258,303.64
  4. Step 4: Simplify right side
    430,431.88x = 153,367,812,080.36
  5. Step 5: Solve for x
    x = 153,367,812,080.36/430,431.88
  6. Step 6: Final answer
    x = 356,311.46

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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.