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Finding the Fourth Proportional to 507,966.30, 710,219.70 and 507,966.30

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Solution

The fourth proportional to 507,966.30, 710,219.70 and 507,966.30 is: 710,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,966.30 : 710,219.70 = 507,966.30 : x
  2. Step 2: Convert to fraction form
    507,966.30/710,219.70 = 507,966.30/x
  3. Step 3: Cross multiply
    507,966.30x = 710,219.70 × 507,966.30
  4. Step 4: Simplify right side
    507,966.30x = 360,767,673,196.11
  5. Step 5: Solve for x
    x = 360,767,673,196.11/507,966.30
  6. Step 6: Final answer
    x = 710,219.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.