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Finding the Fourth Proportional to 360,746.46, 540,602.10 and 202,642.16

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Solution

The fourth proportional to 360,746.46, 540,602.10 and 202,642.16 is: 303,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,746.46 : 540,602.10 = 202,642.16 : x
  2. Step 2: Convert to fraction form
    360,746.46/540,602.10 = 202,642.16/x
  3. Step 3: Cross multiply
    360,746.46x = 540,602.10 × 202,642.16
  4. Step 4: Simplify right side
    360,746.46x = 109,548,774,541.53
  5. Step 5: Solve for x
    x = 109,548,774,541.53/360,746.46
  6. Step 6: Final answer
    x = 303,672.49

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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.