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Finding the Fourth Proportional to 314,567.64, 472,054.37 and 114,871.32

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Solution

The fourth proportional to 314,567.64, 472,054.37 and 114,871.32 is: 172,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,567.64 : 472,054.37 = 114,871.32 : x
  2. Step 2: Convert to fraction form
    314,567.64/472,054.37 = 114,871.32/x
  3. Step 3: Cross multiply
    314,567.64x = 472,054.37 × 114,871.32
  4. Step 4: Simplify right side
    314,567.64x = 54,225,508,019.31
  5. Step 5: Solve for x
    x = 54,225,508,019.31/314,567.64
  6. Step 6: Final answer
    x = 172,381.08

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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.