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Finding the Fourth Proportional to 291,281.32, 436,921.80 and 166,534.84

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Solution

The fourth proportional to 291,281.32, 436,921.80 and 166,534.84 is: 249,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,281.32 : 436,921.80 = 166,534.84 : x
  2. Step 2: Convert to fraction form
    291,281.32/436,921.80 = 166,534.84/x
  3. Step 3: Cross multiply
    291,281.32x = 436,921.80 × 166,534.84
  4. Step 4: Simplify right side
    291,281.32x = 72,762,702,055.51
  5. Step 5: Solve for x
    x = 72,762,702,055.51/291,281.32
  6. Step 6: Final answer
    x = 249,802.16

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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.