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Finding the Fourth Proportional to 343,283.16, 514,798.36 and 118,585.92

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Solution

The fourth proportional to 343,283.16, 514,798.36 and 118,585.92 is: 177,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,283.16 : 514,798.36 = 118,585.92 : x
  2. Step 2: Convert to fraction form
    343,283.16/514,798.36 = 118,585.92/x
  3. Step 3: Cross multiply
    343,283.16x = 514,798.36 × 118,585.92
  4. Step 4: Simplify right side
    343,283.16x = 61,047,837,135.09
  5. Step 5: Solve for x
    x = 61,047,837,135.09/343,283.16
  6. Step 6: Final answer
    x = 177,835.22

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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.