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Finding the Fourth Proportional to 535,688.16, 803,509.20 and 161,700

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Solution

The fourth proportional to 535,688.16, 803,509.20 and 161,700 is: 242,543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,688.16 : 803,509.20 = 161,700 : x
  2. Step 2: Convert to fraction form
    535,688.16/803,509.20 = 161,700/x
  3. Step 3: Cross multiply
    535,688.16x = 803,509.20 × 161,700
  4. Step 4: Simplify right side
    535,688.16x = 129,927,437,640
  5. Step 5: Solve for x
    x = 129,927,437,640/535,688.16
  6. Step 6: Final answer
    x = 242,543.05

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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.