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Finding the Fourth Proportional to 311,060.16, 467,152.32 and 286,054.08

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Solution

The fourth proportional to 311,060.16, 467,152.32 and 286,054.08 is: 429,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,060.16 : 467,152.32 = 286,054.08 : x
  2. Step 2: Convert to fraction form
    311,060.16/467,152.32 = 286,054.08/x
  3. Step 3: Cross multiply
    311,060.16x = 467,152.32 × 286,054.08
  4. Step 4: Simplify right side
    311,060.16x = 133,630,827,117.47
  5. Step 5: Solve for x
    x = 133,630,827,117.47/311,060.16
  6. Step 6: Final answer
    x = 429,598.01

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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.