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Finding the Fourth Proportional to 361,417.04, 498,742.04 and 208,461.50

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Solution

The fourth proportional to 361,417.04, 498,742.04 and 208,461.50 is: 287,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,417.04 : 498,742.04 = 208,461.50 : x
  2. Step 2: Convert to fraction form
    361,417.04/498,742.04 = 208,461.50/x
  3. Step 3: Cross multiply
    361,417.04x = 498,742.04 × 208,461.50
  4. Step 4: Simplify right side
    361,417.04x = 103,968,513,771.46
  5. Step 5: Solve for x
    x = 103,968,513,771.46/361,417.04
  6. Step 6: Final answer
    x = 287,669.10

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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.