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Finding the Fourth Proportional to 401,477.60, 602,216.40 and 164,698.40

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Solution

The fourth proportional to 401,477.60, 602,216.40 and 164,698.40 is: 247,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,477.60 : 602,216.40 = 164,698.40 : x
  2. Step 2: Convert to fraction form
    401,477.60/602,216.40 = 164,698.40/x
  3. Step 3: Cross multiply
    401,477.60x = 602,216.40 × 164,698.40
  4. Step 4: Simplify right side
    401,477.60x = 99,184,077,533.76
  5. Step 5: Solve for x
    x = 99,184,077,533.76/401,477.60
  6. Step 6: Final answer
    x = 247,047.60

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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.