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Finding the Fourth Proportional to 565,807.16, 780,798.32 and 311,158.36

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Solution

The fourth proportional to 565,807.16, 780,798.32 and 311,158.36 is: 429,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,807.16 : 780,798.32 = 311,158.36 : x
  2. Step 2: Convert to fraction form
    565,807.16/780,798.32 = 311,158.36/x
  3. Step 3: Cross multiply
    565,807.16x = 780,798.32 × 311,158.36
  4. Step 4: Simplify right side
    565,807.16x = 242,951,924,741.96
  5. Step 5: Solve for x
    x = 242,951,924,741.96/565,807.16
  6. Step 6: Final answer
    x = 429,389.98

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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.