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Finding the Fourth Proportional to 477,915.04, 716,688.24 and 162,297.76

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Solution

The fourth proportional to 477,915.04, 716,688.24 and 162,297.76 is: 243,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,915.04 : 716,688.24 = 162,297.76 : x
  2. Step 2: Convert to fraction form
    477,915.04/716,688.24 = 162,297.76/x
  3. Step 3: Cross multiply
    477,915.04x = 716,688.24 × 162,297.76
  4. Step 4: Simplify right side
    477,915.04x = 116,316,895,970.34
  5. Step 5: Solve for x
    x = 116,316,895,970.34/477,915.04
  6. Step 6: Final answer
    x = 243,384.05

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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.