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Finding the Fourth Proportional to 403,658.40, 604,969.20 and 245,719.20

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Solution

The fourth proportional to 403,658.40, 604,969.20 and 245,719.20 is: 368,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,658.40 : 604,969.20 = 245,719.20 : x
  2. Step 2: Convert to fraction form
    403,658.40/604,969.20 = 245,719.20/x
  3. Step 3: Cross multiply
    403,658.40x = 604,969.20 × 245,719.20
  4. Step 4: Simplify right side
    403,658.40x = 148,652,547,848.64
  5. Step 5: Solve for x
    x = 148,652,547,848.64/403,658.40
  6. Step 6: Final answer
    x = 368,263.23

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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.