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Finding the Fourth Proportional to 497,706.16, 746,117.16 and 194,030.32

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Solution

The fourth proportional to 497,706.16, 746,117.16 and 194,030.32 is: 290,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,706.16 : 746,117.16 = 194,030.32 : x
  2. Step 2: Convert to fraction form
    497,706.16/746,117.16 = 194,030.32/x
  3. Step 3: Cross multiply
    497,706.16x = 746,117.16 × 194,030.32
  4. Step 4: Simplify right side
    497,706.16x = 144,769,351,312.29
  5. Step 5: Solve for x
    x = 144,769,351,312.29/497,706.16
  6. Step 6: Final answer
    x = 290,873.14

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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.