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Finding the Fourth Proportional to 521,697.64, 719,938.98 and 295,341.16

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Solution

The fourth proportional to 521,697.64, 719,938.98 and 295,341.16 is: 407,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,697.64 : 719,938.98 = 295,341.16 : x
  2. Step 2: Convert to fraction form
    521,697.64/719,938.98 = 295,341.16/x
  3. Step 3: Cross multiply
    521,697.64x = 719,938.98 × 295,341.16
  4. Step 4: Simplify right side
    521,697.64x = 212,627,613,482.42
  5. Step 5: Solve for x
    x = 212,627,613,482.42/521,697.64
  6. Step 6: Final answer
    x = 407,568.67

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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.