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Finding the Fourth Proportional to 340,038.04, 509,838.36 and 162,541.12

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Solution

The fourth proportional to 340,038.04, 509,838.36 and 162,541.12 is: 243,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,038.04 : 509,838.36 = 162,541.12 : x
  2. Step 2: Convert to fraction form
    340,038.04/509,838.36 = 162,541.12/x
  3. Step 3: Cross multiply
    340,038.04x = 509,838.36 × 162,541.12
  4. Step 4: Simplify right side
    340,038.04x = 82,869,698,053.36
  5. Step 5: Solve for x
    x = 82,869,698,053.36/340,038.04
  6. Step 6: Final answer
    x = 243,707.14

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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.