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Finding the Fourth Proportional to 369,088.72, 509,344.20 and 207,946.32

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Solution

The fourth proportional to 369,088.72, 509,344.20 and 207,946.32 is: 286,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,088.72 : 509,344.20 = 207,946.32 : x
  2. Step 2: Convert to fraction form
    369,088.72/509,344.20 = 207,946.32/x
  3. Step 3: Cross multiply
    369,088.72x = 509,344.20 × 207,946.32
  4. Step 4: Simplify right side
    369,088.72x = 105,916,252,003.34
  5. Step 5: Solve for x
    x = 105,916,252,003.34/369,088.72
  6. Step 6: Final answer
    x = 286,966.92

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1.5x scale

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.