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Finding the Fourth Proportional to 507,113.02, 759,575.94 and 477,302.71

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Solution

The fourth proportional to 507,113.02, 759,575.94 and 477,302.71 is: 714,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,113.02 : 759,575.94 = 477,302.71 : x
  2. Step 2: Convert to fraction form
    507,113.02/759,575.94 = 477,302.71/x
  3. Step 3: Cross multiply
    507,113.02x = 759,575.94 × 477,302.71
  4. Step 4: Simplify right side
    507,113.02x = 362,547,654,612.80
  5. Step 5: Solve for x
    x = 362,547,654,612.80/507,113.02
  6. Step 6: Final answer
    x = 714,924.76

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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.