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Finding the Fourth Proportional to 314,153.34, 433,457.91 and 178,157.58

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Solution

The fourth proportional to 314,153.34, 433,457.91 and 178,157.58 is: 245,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,153.34 : 433,457.91 = 178,157.58 : x
  2. Step 2: Convert to fraction form
    314,153.34/433,457.91 = 178,157.58/x
  3. Step 3: Cross multiply
    314,153.34x = 433,457.91 × 178,157.58
  4. Step 4: Simplify right side
    314,153.34x = 77,223,812,277.46
  5. Step 5: Solve for x
    x = 77,223,812,277.46/314,153.34
  6. Step 6: Final answer
    x = 245,815.67

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1.5x scale

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.