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Finding the Fourth Proportional to 665,897.76, 918,941.76 and 364,098.24

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Solution

The fourth proportional to 665,897.76, 918,941.76 and 364,098.24 is: 502,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,897.76 : 918,941.76 = 364,098.24 : x
  2. Step 2: Convert to fraction form
    665,897.76/918,941.76 = 364,098.24/x
  3. Step 3: Cross multiply
    665,897.76x = 918,941.76 × 364,098.24
  4. Step 4: Simplify right side
    665,897.76x = 334,585,077,478.50
  5. Step 5: Solve for x
    x = 334,585,077,478.50/665,897.76
  6. Step 6: Final answer
    x = 502,457.13

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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.