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Finding the Fourth Proportional to 517,762.10, 714,510.24 and 291,407.60

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Solution

The fourth proportional to 517,762.10, 714,510.24 and 291,407.60 is: 402,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,762.10 : 714,510.24 = 291,407.60 : x
  2. Step 2: Convert to fraction form
    517,762.10/714,510.24 = 291,407.60/x
  3. Step 3: Cross multiply
    517,762.10x = 714,510.24 × 291,407.60
  4. Step 4: Simplify right side
    517,762.10x = 208,213,714,213.82
  5. Step 5: Solve for x
    x = 208,213,714,213.82/517,762.10
  6. Step 6: Final answer
    x = 402,141.67

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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.