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Finding the Fourth Proportional to 430,903.14, 594,670.86 and 258,873.72

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Solution

The fourth proportional to 430,903.14, 594,670.86 and 258,873.72 is: 357,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,903.14 : 594,670.86 = 258,873.72 : x
  2. Step 2: Convert to fraction form
    430,903.14/594,670.86 = 258,873.72/x
  3. Step 3: Cross multiply
    430,903.14x = 594,670.86 × 258,873.72
  4. Step 4: Simplify right side
    430,903.14x = 153,944,657,703.80
  5. Step 5: Solve for x
    x = 153,944,657,703.80/430,903.14
  6. Step 6: Final answer
    x = 357,260.47

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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.