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Finding the Fourth Proportional to 841,656.40, 1,161,477.12 and 459,683.20

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Solution

The fourth proportional to 841,656.40, 1,161,477.12 and 459,683.20 is: 634,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,656.40 : 1,161,477.12 = 459,683.20 : x
  2. Step 2: Convert to fraction form
    841,656.40/1,161,477.12 = 459,683.20/x
  3. Step 3: Cross multiply
    841,656.40x = 1,161,477.12 × 459,683.20
  4. Step 4: Simplify right side
    841,656.40x = 533,911,519,248.38
  5. Step 5: Solve for x
    x = 533,911,519,248.38/841,656.40
  6. Step 6: Final answer
    x = 634,358.06

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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.