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Finding the Fourth Proportional to 402,117.16, 602,946.06 and 165,265

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Solution

The fourth proportional to 402,117.16, 602,946.06 and 165,265 is: 247,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,117.16 : 602,946.06 = 165,265 : x
  2. Step 2: Convert to fraction form
    402,117.16/602,946.06 = 165,265/x
  3. Step 3: Cross multiply
    402,117.16x = 602,946.06 × 165,265
  4. Step 4: Simplify right side
    402,117.16x = 99,645,880,605.90
  5. Step 5: Solve for x
    x = 99,645,880,605.90/402,117.16
  6. Step 6: Final answer
    x = 247,803.10

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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.